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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. (c) 2008 Elsevier Inc. All rights reserved.
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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
ESI Discipline： MATHEMATICS;
JCR Journal Grade：2
Cited Count：
WoS CC Cited Count： 10
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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