When the Group Ring of a Finite Simple Group is Serial


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Abstract

A ring is said to be serial if its right and left regular modules are the direct sums of chain modules. The aim of the paper is to give an answer to the following question: for which finite simple groups, the group ring over a given field is serial.

About the authors

A. Kukharev

Vitebsk State University named after P.M. Masherov

Author for correspondence.
Email: kukharev.av@mail.ru
Belarus, Vitebsk

I. Kaygorodov

Universidade Federal do ABC

Email: kukharev.av@mail.ru
Brazil, Santo André

I. Gorshkov

Universidade Federal do ABC

Email: kukharev.av@mail.ru
Brazil, Santo André


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