Invertible matrices and semilinear spaces over commutative semirings
type: Item
instance of: scholarly article
title: Invertible matrices and semilinear spaces over commutative semirings
zbMATH Open document ID: 1207.15009
author: Shan Zhao
author: Xueping Wang
published in: Information Sciences
publication date: 2011-01-28T00:00:00Z
review text: The authors examine 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 the semilinear space of \(n\)-dimensional vectors is \(n\) is given. In the end, the factor rank of matrices over semirings is investigated.
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 16Y60
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 15A03
zbMATH DE Number: 5842624
zbMATH Keywords: commutative semiring
zbMATH Keywords: semilinear space
zbMATH Keywords: invertible matrix
zbMATH Keywords: linear independence
zbMATH Keywords: basis
reviewed by: Andreas Arvanitoyeorgos
MaRDI profile type: Publication
full work available at URL: j.ins.2010.08.033
OpenAlex ID: W2072854112
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DOI: 10.1016/J.INS.2010.08.033
description: scientific article; zbMATH DE number 5842624