Category:Definitions/R-Algebraic Structure Endomorphisms

This category contains definitions related to R-Algebraic Structure Endomorphisms.
Related results can be found in Category:R-Algebraic Structure Endomorphisms.

Let $\struct {S, \ast_1, \ast_2, \ldots, \ast_n, \circ}_R$ be an $R$-algebraic structure.

Let $\phi: S \to S$ be an $R$-algebraic structure homomorphism from $S$ to itself.

Then $\phi$ is an $R$-algebraic structure endomorphism.

This definition continues to apply when $S$ is a module, and also when it is a vector space.