Translation for 'monomorphism' from English to Russian

monomorphism

мономорфизм {м}мат.

• In category theory and its applications to mathematics, a normal monomorphism or conormal epimorphism is a particularly well-behaved type of morphism.
• Every kernel, like any other equaliser, is a monomorphism.
• The dual of an epimorphism is a monomorphism (i.e. ...
• There are also useful concepts of "regular monomorphism", "extremal monomorphism", "immediate monomorphism", "strong monomorphism", and "split monomorphism".
• A morphism "f": "X" → "Y" is called a monomorphism if "f" ∘ "g"1 = "f" ∘ "g"2 implies "g"1 = "g"2 for all morphisms "g"1, "g"2: "Z" → "X".

• It can be proved that any equaliser in any category is a monomorphism.
• In mathematics, specifically category theory, an essential monomorphism is a monomorphism "f" in a category "C" such that for a morphism "g" in "C", the morphism [...] is a monomorphism only when "g" is a monomorphism.
• Injective ring homomorphisms are identical to monomorphisms in the category of rings: If [...] is a monomorphism that is not injective, then it sends some "r"1 and "r"2 to the same element of "S".
• If the homomorphism [...] is injective (i.e., a monomorphism), the representation is said to be faithful.
• In a regular category, the regular-epimorphisms and the monomorphisms form a factorization system.