Ring Homomorphisms

Contemporary Abstract Algebra Pub Date : 2021-01-19 DOI:10.1142/9789814271905_0014

J. Gallian

引用次数: 1

Abstract

• If R and S are ring, a function f : R → S is a ring homomorphism (or a ring map) if f (x + y) = f (x) + f (y) and f (xy) = f (x)f (y) for all x, y ∈ R. If R and S are rings with identity, it's customary to also require that f (1) = 1.

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环同态

•如果R和S是环，则函数f: R→S是环同态(或环映射)，如果f (x + y) = f (x) + f (y)和f (xy) = f (x)f (y)对于所有x, y∈R。如果R和S是具有恒等的环，习惯上也要求f(1) = 1。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Contemporary Abstract Algebra

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