Rings satisfying certain conditions either on subsemigroups or on endomorphisms

Journal of the Australian Mathematical Society

A. Cherubini¹ 

[1] A. Varisco

关键词: primary 20 M 25;    secondary 16 A 48;   

DOI  :  10.1017/S1446788700027178

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We characterize rings whose multiplicative subsemigroups containing 0 and the additive inverse of each element are subrings. In addition we consider commutative rings for which every non-constant multiplicative endormorphism that preserves additive inverses is a ring endomorphism, and we show that they belong to one of three easily-described classes of rings.

【 授权许可】

Unknown