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OPERATORS PRESERVING DETERMINANTS OF MATRICES OVER COMMUTATIVE RINGS
English
2017
Journal of Algebra Number Theory Advances and Applications
English
Preserved Fulltext
In this paper, we investigate entrywise operators that preserve determinants of matrices over commutative rings. We give necessary and sufficient conditions for entrywise operators to be determinant preserving in the full matrix space, the upper triangular matrix space, the symmetric matrix space, and the antisymmetric matrix space, respectively.
doi:10.18642/jantaa_7100121821
fatcat:bfne53lqvnbnhbavmg743xgipa