When the Group Ring of a Finite Simple Group is Serial
- Authors: Kukharev A.1, Kaygorodov I.2, Gorshkov I.2
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Affiliations:
- Vitebsk State University named after P.M. Masherov
- Universidade Federal do ABC
- Issue: Vol 240, No 4 (2019)
- Pages: 481-493
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242768
- DOI: https://doi.org/10.1007/s10958-019-04365-z
- ID: 242768
Cite item
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