Self-injectivity of semigroup algebras

It is proved that for an IC abundant semigroup (a primitive abundant semigroup; a primitively semisimple semigroup) S and a field K, if K 0[S] is right (left) self-injective, then S is a finite regular semigroup. This extends and enriches the related results of Okniński on self-inject...

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Bibliographic Details
Main Authors: Guo Junying, Guo Xiaojiang
Format: Article
Language:English
Published: De Gruyter 2020-05-01
Series:Open Mathematics
Subjects:
Online Access:http://www.degruyter.com/view/j/math.2020.18.issue-1/math-2020-0023/math-2020-0023.xml?format=INT