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1 nonassociative ring
Большой англо-русский и русско-английский словарь > nonassociative ring
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2 nonassociative ring
Математика: квазикольцо, неассоциативное кольцо -
3 nonassociative ring
мат.неассоциативное кольцо, квазикольцо -
4 nonassociative
неассоциативный nonassociative skew field ≈ неассоциативное тело nonassociative syntactic calculus ≈ неассоциативное синтаксическое исчисление - nonassociative algebra - nonassociative field - nonassociative ring - nonassociative system - nonassociative wordБольшой англо-русский и русско-английский словарь > nonassociative
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5 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 -
6 неассоциативное кольцо
nonassociative ring мат.Русско-английский научно-технический словарь Масловского > неассоциативное кольцо
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7 квазикольцо
Большой англо-русский и русско-английский словарь > квазикольцо
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8 квазикольцо
Mathematics: nonassociative ring, quasi-ring, quasiring, semiring -
9 неассоциативное кольцо
Большой англо-русский и русско-английский словарь > неассоциативное кольцо
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10 неассоциативное кольцо
Mathematics: nonassociative ringУниверсальный русско-английский словарь > неассоциативное кольцо
См. также в других словарях:
Nonassociative ring — In abstract algebra, a nonassociative ring is a generalization of the concept of ring. A nonassociative ring is a set R with two operations, addition and multiplication, such that: R is an abelian group under addition: a + b = b + a (a + b) + c … 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
Lie ring — In mathematics a Lie ring is a structure related to Lie algebras that can arise as a generalisation of Lie algebras, or through the study of the lower central series of groups. Formal definition A Lie ring is defined as a nonassociative ring with … Wikipedia
Division ring — In abstract algebra, a division ring, also called a skew field, is a ring in which division is possible. Specifically, it is a non trivial ring in which every non zero element a has a multiplicative inverse, i.e., an element x with a·x = x·a = 1 … Wikipedia
Outline of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… … Wikipedia
List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… … Wikipedia
Jordan algebra — In mathematics, a Jordan algebra is defined in abstract algebra as a (usually nonassociative) algebra over a field with multiplication satisfying the following axioms:# xy = yx (commutative law) # (xy)(xx) = x(y(xx)) (Jordan identity)The product… … Wikipedia
E₈ lattice — In mathematics, the E8 lattice is a special lattice in R8. It can be characterized as the unique positive definite, even, unimodular lattice of rank 8. The name derives from the fact that it is the root lattice of the E8 root system. The normIn… … Wikipedia
List of abstract algebra topics — Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras. The phrase abstract algebra was coined at the turn of the 20th century to distinguish this … Wikipedia
Associator — In abstract algebra, for a ring or algebra R, the associator is the multilinear map R imes R imes R o R given by: [x,y,z] = (xy)z x(yz).,Just like the commutator measures the degree of noncommutativity, the associator measures the degree of… … Wikipedia
Anneau unitaire — Pour les articles homonymes, voir Anneau. En algèbre générale, un anneau unitaire ou simplement anneau, est un ensemble sur lequel deux opérations satisfont certaines des propriétés de l addition et la multiplication des nombres entiers relatifs … Wikipédia en Français
