Title of article
Invertible matrices and semilinear spaces over commutative semirings
Author/Authors
Shan Zhao، نويسنده , , Xue-ping Wang، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
10
From page
5115
To page
5124
Abstract
This paper deals with invertible matrices and semilinear spaces over commutative semirings. Some necessary and sufficient conditions for matrices to be invertible over commutative semirings are obtained. The condition under which the cardinality of each basis of semilinear space of n-dimensional vectors is n is given. In the end, the factor rank of matrices over semirings is investigated.
Keywords
commutative semiring , Semilinear space , Linear independence , Basis , Invertible matrix
Journal title
Information Sciences
Serial Year
2010
Journal title
Information Sciences
Record number
1214170
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