-
1 nilpotent ring
The English-Russian dictionary general scientific > nilpotent ring
-
2 nilpotent ring
Большой англо-русский и русско-английский словарь > nilpotent ring
-
3 nilpotent ring
Математика: нильпотентное кольцо -
4 nilpotent ring
-
5 locally nilpotent ring
Математика: локально нильпотентное кольцоУниверсальный англо-русский словарь > locally nilpotent ring
-
6 locally nilpotent ring
English-Russian scientific dictionary > locally nilpotent ring
-
7 nilpotent
нильпотентный, нильстепенный even nilpotent element ≈ четный нильпотентный элемент locally nilpotent algebra ≈ локально нильпотентная алгебра locally nilpotent endomorphism ≈ локально нильпотентный эндоморфизм locally nilpotent group ≈ локально нильпотентная группа locally nilpotent homomorphism ≈ локально нильпотентный гомоморфизм locally nilpotent ideal ≈ локально нильпотентный идеал locally nilpotent radical ≈ локально нильпотентный радикал locally nilpotent ring ≈ локально нильпотентное кольцо properly nilpotent element ≈ собственно нильпотентный элемент residually nilpotent group ≈ резидуально нильпотентная группа semigroup without nilpotent ideals ≈ полугруппа без нильпотентных идеалов strongly nilpotent element ≈ строго нильпотентный элемент - generalized nilpotent - locally nilpotent - nilpotent algebra - nilpotent automaton - nilpotent chain - nilpotent complex - nilpotent component - nilpotent divisor - nilpotent element - nilpotent endomorphism - nilpotent factor - nilpotent group - nilpotent homomorphism - nilpotent lattice - nilpotent length - nilpotent matrix - nilpotent module - nilpotent operator - nilpotent product - nilpotent radical - nilpotent semigroup - nilpotent set - nilpotent space - nilpotent subalgebra - nilpotent subgroup - nilpotent subring - nilpotent transformation - nilpotent value - nilpotent variety - properly nilpotent - regular nilpotent - semiregular nilpotent - strongly nilpotent - topological nilpotentБольшой англо-русский и русско-английский словарь > nilpotent
-
8 ring
1) кольцо2) окружность; круг3) звон || звонить; звенеть4) кольцевая область; кольцо || кольцевой6) обруч || надевать обруч7) обод; фланец; обойма8) ободок9) телефон. звонок; вызов || посылать вызов10) вчт счётное кольцо; кольцевая схема11) тор12) фланец; хомут; бугель13) ядро•ring over field — мат. кольцо над полем
ring with cancellation — мат. кольцо без делителей нуля
ring with divided powers — мат. кольцо с разделёнными степенями
ring with division — мат. кольцо с делением
ring with divisors of zero — мат. кольцо с делителями нуля
ring with filtration — мат. кольцо с фильтрацией, фильтрованное кольцо
ring with identity — мат. кольцо с единицей
ring with involution — мат. кольцо с инволюцией
ring with maximum condition — мат. кольцо с условием максимальности
ring with minimum condition — мат. кольцо с условием минимальности
ring with operators — мат. кольцо с операторами, операторное кольцо
ring with unit element — мат. кольцо с единицей
ring with unity — мат. кольцо с единицей
ring without divisors of zero — мат. кольцо без делителей нуля
ring without identity — мат. кольцо без единицы
- absolutely flat ring - analytically normal ring - analytically unramified ring - completely reducible ringring without radical — мат. кольцо без радикала
- eye ring- flat cohomology ring - fully primary ring - lattice ordered ring - left hereditary ring - locally decomposable ring - locally factorial ring - locally matrix ring - locally nilpotent ring - locally polynomial ring- mud ring- nil ring- nilpotent ring - projectively trivial ring- rim ring- ring of analytical functions - ring of formal power series - ring of linear transformations - ring of principal ideals - ring of vector functions- ring off- top ring- total quotient ring - totally primary ring - totally reducible ring - weakly regular ring -
9 нильпотентное кольцо
Большой англо-русский и русско-английский словарь > нильпотентное кольцо
-
10 group
1) группа, ансамбль || групповой- roughing mill group2) совокупность; комплект3) группировка || группировать(ся)5) класс; категория || классифицировать; категоризировать6) хим. остаток7) сгусток; скопление8) узел9) матем. группа- absolute free group - absolute homotopy group - absolutely irreducible group - absolutely simple group - additively written group - adele group - adelic group - algebraically compact group - algebraically simple group - almost connected group - almost cyclic group - almost ordered group - almost periodic group - almost simple group - alternating form group - cancellative group - cellular homology group - characteristically simple group - complementing group - completely anisotropic group - completely discontinuous group - completely divisible group - completely indecomposable group - completely integrally closed group - deficient group - direct homology group - direct indecomposable group - doubly transitive group - finitely defined group - finitely generated group - finitely presented group - finitely related group - first homology group - first homotopy group - freely generated group - full linear group - full orthogonal group - full rotation group - full symmetric group - full unimodular group - group of classes of algebras - group of covering transformations - group of finite rank - group of infinite order - group of infinite rank - group of inner automorphisms - group of linear equivalence - group of linear forms - group of linear manifold - group of principal ideles - group of real line - group of recursive permutations - group of right quotients - idele class group - linearly ordered group - linearly transitive group - locally bicompact group - locally closed group - locally compact group - locally connected group - locally cyclic group - locally defined group - locally embeddable group - locally finite group - locally free group - locally infinite group - locally nilpotent group - locally normal group - locally solvable group - multiply primitive group - multiply transitive group - nonsolvable group - n-th homotopy group - ordered pair group - principal congruence group - properly orthogonal group - properly unimodular group - pure projective group - pure rotation group - pure simple group - quasipure projective group - quotient divisible group - residually nilpotent group - restricted holonomy group - sharply transitive group - simply ordered group - simply reducible group - simply transitive group - singular cogomology group - singular homology group - solvable group - stable group - strictly transitive group - strongly polycyclic group - subsolvable group - supersolvable group - totally ordered group - totally projective group - totally reducible group - triply transitive group - unitary symmetry group - unitary transformation group - value group - weak homology group - weakly mixing groupgroup with multiple operators — группа с многоместными операторами, мультиоператорная группа
-
11 homomorphism
гомоморфизм, гомоморфное отображение- locally nilpotent homomorphism - locally rigid homomorphism - lower complete homomorphism - lower semicomplete homomorphism - monic homomorphism - retractive homomorphism -
12 radical
1) мат. радикал, знак корня, корень2) хим. радикал, остаток•- locally nilpotent radicalunder the radical sign — мат. под знаком корня, подкоренной
-
13 topological
топологический base of topological space ≈ база топологического пространства basis of topological space ≈ базис топологического пространства category of topological space ≈ категория топологического пространства dual topological unitarization ≈ дуально топологическая унитаризация general topological space ≈ общетопологическое пространство hyperemetric topological group ≈ гиперметрическая топологическая группа hypermetric topological group ≈ гиперметрическая топологическая группа linearly topological algebra ≈ линейно топологическая алгебра local topological structure ≈ локальная топологическая структура topological direct integral ≈ топологический прямой интеграл topological direct summand ≈ топологическое прямое слагаемое topological field of sets ≈ топологическое тело множеств topological group extension ≈ топологическое расширение группы topological spectral value ≈ топологическое спектральное значение topological vector lattice ≈ топологическая векторная решетка - topological conjugacy - topological contractibility - topological convergence - topological correspondence - topological covering - topological decomposition - topological deformation - topological dimension - topological distribution - topological divisor - topological dual - topological duality - topological dynamics - topological embedding - topological entropy - topological equivalence - topological equivalent - topological field - topological flow - topological formula - topological formulation - topological game - topological genus - topological graph - topological group - topological groupoid - topological homeomorphism - topological homogeneity - topological homomorphism - topological identification - topological image - topological inclusion - topological index - topological interpretation - topological invariance - topological invariant - topological irreducibility - topological isomorphism - topological knot - topological lattice - topological limit - topological line - topological logic - topological manifold - topological method - topological model - topological modification - topological module - topological monoid - topological morphism - topological neighborhood - topological nilpotent - topological noise - topological object - topological ordering - topological pair - topological partition - topological plane - topological polygon - topological polyhedron - topological polynomial - topological product - topological proof - topological property - topological pseudoisotopy - topological quasicomponent - topological quotient - topological rank - topological realization - topological recurrence - topological relationship - topological representation - topological restriction - topological result - topological ring - topological section - topological self-mapping - topological semigroup - topological semimodule - topological sequence - topological similarity - topological simplex - topological sorting - topological space - topological sphere - topological stability - topological structure - topological subgroup - topological subspace - topological substitute - topological sum - topological supplement - topological surface - topological transformation - topological transitivity - topological tree - topological triangle - topological type - topological uniformization - topological weight (математика) топологическийБольшой англо-русский и русско-английский словарь > topological
-
14 locally
1) локально
2) местно
3) малый
– be true locally
– locally analytic
– locally bicompact
– locally compact
– locally convex
– locally Euclidean
– locally homeomorphic
– locally nilpotent
locally matrix ring — <math.> кольцо локально матричное
-
15 ideal
1) идеал, предел совершенства || идеальный2) матем. идеал3) мысленный, нереальный, воображаемый•- absolutely unramified ideal - completely simple ideal - disjunctive ideal - invertible ideal - strongly primary ideal - strongly ramified ideal - zero ideal -
16 module
1) модуль || разбивать на модули2) блок, узел3) коэффициент4) строит. модульная секция•module in space — мат. модуль в пространстве
module on space — мат. модуль на пространстве
module with differentiation — мат. дифференциальный модуль, модуль с дифференциалом
module with filtration — мат. модуль с фильтрацией
module without torsion — мат. модуль без кручения
-
17 product
1) продукт, изделие; товар2) мат. произведение, результат умножения3) результат, итог4) pl продукция•- absolutely free product - complete regular product - fully regular product - primary forest products - product of measure spaces - product of vector spaces - scalar triple product - semiinner product - semiscalar product - triple vector product - usual inner product - vector triple productto draw off an overhead product — хим. отбирать дистиллят
-
18 space
1) интервал, промежуток2) пробел || оставлять пробелы3) область; площадь4) пространство || пространственный5) космос, космическое пространство6) полость7) расстояние•- absolutely compact space - absolutely embedded space - absolutely thick space - algebraically parallel space - almost complex space - almost expandable space - almost isomorphic space - almost metric space - almost nonsingular space - almost paracompact space - almost pretopological space - analytically ramified covering space - arcwise connected space - centrally harmonic space - compactly ordered space - completely continuous space - completely degenerate space - completely disconnected space - completely harmonic space - completely metric space - completely normal space - completely reducible space - completely regular space - completely reticulated space - completely separable space - completely separated space - completely symmetric space - completely uniformizable space - constant curvature space - continuous sample space - continuously ordered space - contractible in itself space - countably compactifiable space - countably dimensional space - countably generated space - countably infinite space - countably metacompact space - countably multinormed space - countably normed space - countably paracompact space - countably refinable space - countably subcompact space - finitely productive space - finitely sheeted space - finitely triangulated space - fully normal space - general metrizable space - general topological space - global analytic space - globally symmetric space - hereditarily normal space - hereditarily paracompact space - hereditarily separable space - hereditarily symmetric space - holomorphic tangent space - holomorphically complete space - holomorphically convex space - homotopy associative space - iterated loop space - linearly connected space - linearly ordered space - linearly topologized space - load space - locally bounded space - locally closed space - locally compact space - locally complete space - locally connected space - locally contractible space - locally convex space - locally directed space - locally fine space - locally holomorphic space - locally homogeneous space - locally hyperbolic space - locally linear space - locally metrizable space - locally ringed space - locally separable space - locally simply connected space - locally solid space - locally spherical space - locally star-shaped space - locally symmetric space - locally timelike space - locally triangulable space - monotonically normal space - naturally isomorphic space - naturally ordered space - naturally reductive space - nearly paracompact space - negative metric space - normally separated space - not simply connected space - nowhere connected space - null space of linear transformation - n-way projective space - perfectly normal space - perfectly regular space - perfectly screenable space - perfectly separable space - peripherically bicompact space - peripherically compact space - pointwise paracompact space - projectively metric space - quaternion hyperbolic space - quaternion projective space - quaternion vector space - regularly ordered space - relatively discrete space - relatively strong space - sequentially closed space - sequentially compact space - sequentially complete space - sequentially quasicomplete space - sequentially separable space - simply ordered space - simply partitionable space - space of affine connectedness - space of complex homomorphisms - space of continuous functions - space of finite measure - space of linear interpolation - space of right cosets - space of scalar curvature - strongly bounded space - strongly closed space - strongly compact space - strongly complete space - strongly irreducible space - strongly normal space - strongly normed space - strongly paracompact space - strongly pseudocompact space - strongly pseudometrizable space - strongly rigid space - strongly screenable space - structural space - structure space - topologically complete space - totally disconnected space - totally geodesic space - totally imperfect space - totally normal space - totally orderable space - totally ordered space - water jacket space - weakly closed space - weakly compact space - weakly complete space - weakly covering space - weakly dense space - weakly favorable space - weakly n-dimensional space - weakly paracompact space - weakly regular space - weakly separable space - weakly symmetric spaceto space out — полигр. набирать вразрядку
См. также в других словарях:
nilpotent — [zu lateinisch nihil, nil »nichts«], Mathematik: 1) Ein Element a eines Ringes heißt nilpotent, wenn es eine natürliche Zahl m gibt, sodass am = 0 ist; z. B. ist im Ring der reellen 2 ☓ 2 Matrizen nilpotent wegen a2 = 0. 2) Ein (Rechts oder … Universal-Lexikon
Nilpotent — This article is about a type of element in a ring. For the type of group, see Nilpotent group. In mathematics, an element x of a ring R is called nilpotent if there exists some positive integer n such that xn = 0. The term was… … Wikipedia
Nilpotent ideal — In mathematics, more specifically ring theory, an ideal, I, of a ring is said to be a nilpotent ideal, if there exists a natural number k such that Ik = 0.[1] By Ik, it is meant the additive subgroup generated by the set of all products of k… … Wikipedia
Ring (mathematics) — This article is about algebraic structures. For geometric rings, see Annulus (mathematics). For the set theory concept, see Ring of sets. Polynomials, represented here by curves, form a ring under addition and multiplication. In mathematics, a… … Wikipedia
nilpotent — adjective Describing an element, of a ring, for which there exists some positive integer n such that x = 0. See Also: idempotent, nilpotence, nilpotency, nilpotently, nullipotent, unipotent … Wiktionary
Glossary of ring theory — Ring theory is the branch of mathematics in which rings are studied: that is, structures supporting both an addition and a multiplication operation. This is a glossary of some terms of the subject. Contents 1 Definition of a ring 2 Types of… … Wikipedia
Nilradical of a ring — For more radicals, see radical of a ring. In algebra, the nilradical of a commutative ring is the ideal consisting of the nilpotent elements of the ring. In the non commutative ring case, more care is needed resulting in several related radicals … Wikipedia
Local ring — In abstract algebra, more particularly in ring theory, local rings are certain rings that are comparatively simple, and serve to describe what is called local behaviour , in the sense of functions defined on varieties or manifolds, or of… … Wikipedia
Localization of a ring — In abstract algebra, localization is a systematic method of adding multiplicative inverses to a ring. Given a ring R and a subset S , one wants to construct some ring R* and ring homomorphism from R to R* , such that the image of S consists of… … Wikipedia
Domain (ring theory) — In mathematics, especially in the area of abstract algebra known as ring theory, a domain is a ring such that ab = 0 implies that either a = 0 or b = 0.[1] That is, it is a ring which has no left or right zero divisors. (Sometimes such a ring is… … Wikipedia
Von Neumann regular ring — In mathematics, a ring R is von Neumann regular if for every a in R there exists an x in R with : a = axa .One may think of x as a weak inverse of a ; note however that in general x is not uniquely determined by a .(The regular local rings of… … Wikipedia
