Left permutable multiplicative sets and left strongly prime ideals in rings

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...

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Bibliographic Details
Main Author: Algirdas Kaučikas
Format: Article
Language:English
Published: Vilnius University Press 2008-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/18051