Invertible matrices and semilinear spaces over commutative semirings
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.
scientific article; zbMATH DE number 5842624
scientific article