On nilpotent subsemigroups of the matrix semigroup over an antiring |
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Authors: | Yi-Jia Tan |
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Institution: | Department of mathematics, Fuzhou University, Fuzhou 350108, China |
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Abstract: | 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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Keywords: | 15A30 16Y60 |
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