endomorphism

Noun

Meaning

(geology) The assimilation of surrounding rock by an intrusive igneous rock

(mathematics) A homomorphism that maps a system to itself

Examples

Also called an endomorphism of G. ; Automorphism : An endomorphism that is bijective, and hence an 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

An element in a commutative ring R may be thought of as an endomorphism of any R-module. Source: Internet

As a more illuminating example, the classification of groupoids with one endomorphism does not reduce to purely group theoretic considerations. Source: Internet

If the module is Artinian, Noetherian, projective or injective, then the endomorphism ring has a unique maximal ideal, so that it is a local ring. Source: Internet

In category theory, an automorphism is an endomorphism (i.e. a morphism from an object to itself) which is also an isomorphism (in the categorical sense of the word). Source: Internet

Close letter words and terms