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Invertible and nilpotent matrices over antirings
- Source :
-
Linear Algebra & its Applications . Jan2009, Vol. 430 Issue 1, p271-278. 8p. - Publication Year :
- 2009
-
Abstract
- Abstract: In this paper, we characterize invertible matrices over an arbitrary commutative antiring S with 1 and find the structure of . We find the number of nilpotent matrices over an entire commutative finite antiring. We prove that every nilpotent matrix over an entire antiring can be written as a sum of square-zero matrices and also find the necessary number of square-zero summands for an arbitrary trace-zero matrix to be expressible as their sum. [Copyright &y& Elsevier]
- Subjects :
- *COMMUTATIVE algebra
*ALGEBRA
*MATRICES (Mathematics)
*ABSTRACT algebra
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 430
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 34982140
- Full Text :
- https://doi.org/10.1016/j.laa.2008.07.016