Left permutable multiplicative sets S for an associative ring R are defined. Particularly, this notion includes commutative multiplicative sets of the associative ring. We also define the notion of the left S-ideal and prove, that each left S-ideal, maximal with respect to being disjoint from S, is left strongly prime.
This work is licensed under a Creative Commons Attribution 4.0 International License.
Please read the Copyright Notice in Journal Policy.