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author:

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

Indexed by:

EI Scopus SCIE

Abstract:

An antiring is a semiring which is zerosumfree (i.e., a + b = 0 implies a = b = 0 for any a, b in this semiring). In this paper, we study the nilpotency of matrices over commutative antirings. We first provide some properties and characterizations of the nilpotent matrices in terms of principal permanental minors, main diagonals and permanental adjoint matrices. When a family of matrices are simultaneously considered, we establish some characterizations of the simultaneous nilpotence for a family of matrices. (C) 2010 Elsevier Inc. All rights reserved.

Keyword:

Antiring Nilpotent matrix Permanent Semiring Simultaneous nilpotence

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: 2010

Issue: 8-10

Volume: 433

Page: 1541-1554

1 . 0 0 5

JCR@2010

1 . 0 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 5

SCOPUS Cited Count: 6

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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