Group rings with annihilator conditions

A ring R is called left (Kasch) dual if every (maximal) left ideal of R is a left annihilator. R is left CF if every left ideal of R is the left annihilator of a finite number of elements of R . Let RG be the group ring of a group G over a ring R . It is proved that RG is a left Kasch ring if and on...

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Bibliographic Details
Published in:	Acta mathematica Hungarica Vol. 156; no. 1; pp. 38 - 46
Main Author:	Shen, L.
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.10.2018 Springer Nature B.V
Subjects:	Mathematics Mathematics and Statistics Rings (mathematics) CF ring dual ring 16S34 perfect duality group ring Kasch ring 16D25
ISSN:	0236-5294, 1588-2632
Online Access:	Get full text
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