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author:

Tan, Yi-Jia (Tan, Yi-Jia.) [1] (Scholars:谭宜家)

Indexed by:

EI Scopus SCIE

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. (C) 2011 Elsevier Inc. All rights reserved.

Keyword:

Antiring Matrix semigroup Maximal nilpotent subsemigroup Nilpotent subsemigroup Semiring

Community:

  • [ 1 ] Fuzhou Univ, Dept Math, Fuzhou 350108, Peoples R China

Reprint 's Address:

  • 谭宜家

    [Tan, Yi-Jia]Fuzhou Univ, Dept Math, Fuzhou 350108, Peoples R China

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Source :

LINEAR ALGEBRA AND ITS APPLICATIONS

ISSN: 0024-3795

Year: 2011

Issue: 9

Volume: 435

Page: 2247-2258

0 . 9 7 4

JCR@2011

1 . 0 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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