On Subtractive Semisimple Semirings

Authors: Yefim Katsov, Nguyễn Xuân Tuyến, Trần Giang Nam,

https://doi.org/10.1142/S1005386709000406

Publisher, magazine: ,

Publication year: 2009

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Abstract

Among other results on subtractive semimodules and semirings, we present various (homological) characterizations of subtractive semisimple semirings. Also, we give complete descriptions of finite subtractive semisimple as well as additively regular (in particular, additively idempotent) subtractive semisimple semirings.

Tags: subtractive semiring and semimodule, semisimple semiring and semimodule.