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author:

Tan, Y.-J. (Tan, Y.-J..) [1]

Indexed by:

Scopus

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. © 2011 Elsevier Inc. All rights reserved.

Keyword:

Antiring; Matrix semigroup; Maximal nilpotent subsemigroup; Nilpotent subsemigroup; Semiring

Community:

  • [ 1 ] [Tan, Y.-J.]Department of Mathematics, Fuzhou University, Fuzhou 350108, China

Reprint 's Address:

  • [Tan, Y.-J.]Department of Mathematics, Fuzhou University, Fuzhou 350108, 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

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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