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1 homomorphism of rings
Математика: гомоморфизм колец -
2 homomorphism of rings
мат.English-Russian scientific dictionary > homomorphism of rings
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3 homomorphism
гомоморфизм, гомоморфное отображение- locally nilpotent homomorphism - locally rigid homomorphism - lower complete homomorphism - lower semicomplete homomorphism - monic homomorphism - retractive homomorphism -
4 гомоморфизм колец
Большой англо-русский и русско-английский словарь > гомоморфизм колец
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Homomorphism — In abstract algebra, a homomorphism is a structure preserving map between two algebraic structures (such as groups, rings, or vector spaces). The word homomorphism comes from the Greek language: ὁμός (homos) meaning same and μορφή (morphe)… … Wikipedia
homomorphism — homomorphous, adj. /hoh meuh mawr fiz euhm, hom euh /, n. 1. Biol. correspondence in form or external appearance but not in type of structure or origin. 2. Bot. possession of perfect flowers of only one kind. 3. Zool. resemblance between the… … Universalium
homomorphism — noun a) A structure preserving map between two algebraic structures, such as groups, rings, or vector spaces. b) A similar appearance of two unrelated organisms or structures See Also: morphism … Wiktionary
Ring homomorphism — In ring theory or abstract algebra, a ring homomorphism is a function between two rings which respects the operations of addition and multiplication. More precisely, if R and S are rings, then a ring homomorphism is a function f : R → S such that … Wikipedia
Category of rings — In mathematics, the category of rings, denoted by Ring, is the category whose objects are rings (with identity) and whose morphisms are ring homomorphisms (preserving the identity). Like many categories in mathematics, the category of rings is… … Wikipedia
Product of rings — In mathematics, it is possible to combine several rings into one large product ring. This is done as follows: if I is some index set and Ri is a ring for every i in I, then the cartesian product Πi in I Ri can be turned into a ring by defining… … Wikipedia
Harish-Chandra homomorphism — In mathematics, the Harish Chandra homomorphismis an isomorphism of commutative rings constructed in the theory of Lie algebras. The isomorphism maps the center Z ( U ( g )) of the universal enveloping algebra U ( g ) of a semisimple Lie algebra… … Wikipedia
Epimorphism — In category theory an epimorphism (also called an epic morphism or an epi) is a morphism f : X rarr; Y which is right cancellative in the following sense: : g 1 o f = g 2 o f implies g 1 = g 2 for all morphisms g 1, g 2 : Y rarr; Z .Epimorphisms… … Wikipedia
Chern class — In mathematics, in particular in algebraic topology and differential geometry, the Chern classes are characteristic classes associated to complex vector bundles. Chern classes were introduced by Shiing Shen Chern (1946). Contents 1 Basic… … Wikipedia
Excellent ring — In mathematics, in the fields of commutative algebra and algebraic geometry, an excellent ring is a Noetherian commutative ring with many of the good properties of complete local rings. This class of rings was defined by Alexander Grothendieck… … Wikipedia
Cayley–Hamilton theorem — In linear algebra, the Cayley–Hamilton theorem (named after the mathematicians Arthur Cayley and William Hamilton) states that every square matrix over the real or complex field satisfies its own characteristic equation.More precisely; if A is… … Wikipedia