On nilpotent matrices over antirings - Details

author：

Tan, Yijia (Tan, Yijia.) ^[1]

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Abstract：

In　this　paper,　the　nilpotent　matrices　over　commutative　antirings　are　characterized　in　terms　of　principal　permanental　minors,　main　diagonals　and　permanental　adjoint　matrices,　and　a　necessary　and　sufficient　condition　for　a　nilpotent　matrix　over　a　commutative　antiring　which　has　a　given　nilpotent　index　is　obtained.　Also,　a　method　for　calculating　the　nilpotent　index　of　any　nilpotent　matrix　over　a　commutative　entire　antiring　is　given.　©　2008　Elsevier　Inc.　All　rights　reserved.

Keyword：

Linear algebra Mathematical techniques Matrix algebra

Community：

[ 1 ] [Tan, Yijia]Department of Mathematics, Fuzhou University, Fuzhou, 350002, China

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Email：

yjtan@fzu.edu.cn

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Source ：

Linear Algebra and Its Applications

ISSN： 0024-3795

Year： 2008

Issue： 5-6

Volume： 429

Page： 1243-1253

0 . 8 7 8

JCR@2008

1 . 0 0 0

JCR@2023

JCR Journal Grade：2

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SCOPUS Cited Count： 12

ESI Highly Cited Papers on the List： 0 Unfold All

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30 Days PV： 0

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