Azumaya Semigroup Algebras

作者:Guo, Xiaojiang*
来源:Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39(3): 993-1004.
DOI:10.1007/s40840-015-0208-z

摘要

A semigroup is called almost idempotent-free if it has exactly one nonzero J-class containing idempotents. It is mainly investigated when almost idempotent-free semigroup algebras are Azumaya algebras. Necessary and sufficient conditions for semigroup algebras of an almost idempotent-free semigroup with certain properties to be Azumaya are obtained.