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On nilpotent subsemigroups of the matrix semigroup over an antiring

✍ Scribed by Yi-Jia Tan

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 278 KB
Volume: 435
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2011.04.013

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✦ Synopsis

In this paper, nilpotent subsemigroups in the matrix semigroup over a commutative antiring are discussed. Some basic properties and characterizations for the nilpotent subsemigroups are given, and some equivalent conditions for the matrix semigroup over a commutative antiring to have a maximal nilpotent subsemigroup are obtained. Also, the maximal nilpotent subsemigroups in the matrix semigroup are described.

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