Translation for 'homomorphism' from English to Russian

homomorphism

гомоморфизм {м}

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group homomorphism

гомоморфизм {м} группмат.

• A homomorphism between supermodules is a module homomorphism that preserves the grading.
• An algebraic structure may have more than one operation, and a homomorphism is required to preserve each operation.
• A "trio" is a family of languages closed under e-free homomorphism, inverse homomorphism, and intersection with regular language.
• An isomorphism of groups may equivalently be defined as an invertible group homomorphism (the inverse function of a bijective group homomorphism is also a group homomorphism).
• In abstract algebra, the fundamental theorem on homomorphisms, also known as the fundamental homomorphism theorem, or the first isomorphism theorem, relates the structure of two objects between which a homomorphism is given, and of the kernel and image of the homomorphism.

• Linear languages are closed under homomorphism and inverse homomorphism.
• By a homomorphism of GVMs we mean [...] -homomorphism.
• The resulting homomorphism [...] is the homomorphism "induced" from "h".
• A homomorphism of topological groups means a continuous group homomorphism [...].
• For any ring homomorphism [...] , invoking the universal property with [...] produces a homomorphism [...] that gives an isomorphism from [...] to the image of [...].

• The map [...] from [...] to [...] defined by [...] is a surjective ring homomorphism, sometimes called the "natural quotient map" or the "canonical homomorphism".
• If "R" and "S" are rings, then a ring homomorphism [...] is the same as a rng homomorphism [...] that maps 1 to 1.