Journal of Algebra, Number Theory: Advances and ApplicationsAuthor's: Xiangui Zhao and Guoting Zhang
Pages: [19] - [28]
Received Date: March 31, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100121821
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 anti-symmetric matrix space, respectively.
determinant preserver, symmetric matrix space, triangular matrix space, anti-symmetric matrix space.
