Word info Synonyms

homomorphism

Noun

Meaning

Same as Homomorphy.

The possession, in one species of plants, of only one kind of flowers; -- opposed to heteromorphism, dimorphism, and trimorphism.

The possession of but one kind of larvae or young, as in most insects.

Source: Webster's dictionary

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Additive functors between preadditive categories generalize the concept of ring homomorphism, and ideals in additive categories can be defined as sets of morphisms closed under addition and under composition with arbitrary morphisms. Source: Internet

A group homomorphism between two groups "preserves the group structure" in a precise sense – it is a "process" taking one group to another, in a way that carries along information about the structure of the first group into the second group. Source: Internet

A map between two Boolean rings is a ring homomorphism if and only if it is a homomorphism of the corresponding Boolean algebras. Source: Internet

Any bijective ring homomorphism is a ring isomorphism. Source: Internet

A ring homomorphism between the same ring is called an endomorphism and an isomorphism between the same ring an automorphism. Source: Internet

A ring homomorphism is said to be an isomorphism if there exists an inverse homomorphism to f (i. Source: Internet

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