Left permutable multiplicative sets and left strongly prime ideals in rings
Articles
Algirdas Kaučikas
Vilnius Pedagogical University
Published 2008-12-21
https://doi.org/10.15388/LMR.2008.03
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Keywords

(left) strongly prime ideal
insulator
multiplicative set
left strongly prime radical

How to Cite

Kaučikas A. (2008) “Left permutable multiplicative sets and left strongly prime ideals in rings”, Lietuvos matematikos rinkinys, 48(proc. LMS), pp. 23–26. doi: 10.15388/LMR.2008.03.

Abstract

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.

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