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Regular Matrices and Their Strong Preservers over Semirings (2008)
by
Seok-zun Song
,
Kyung-tae Kang
,
Leroy B. Beasley
| Citations: | 1 - 0 self |
BibTeX
@MISC{Song08regularmatrices,
author = {Seok-zun Song and Kyung-tae Kang and Leroy B. Beasley},
title = {Regular Matrices and Their Strong Preservers over Semirings},
year = {2008}
}
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Abstract
An m×n matrix A over a semiring S is called regular if there is an n×m matrix G over S such that AGA = A. We study the problem of characterizing those linear operators T on the matrices over a semiring such that T (X) is regular if and only if X is. Complete charac-terizations are obtained for many semirings including: the Boolean algebra, the nonnegative reals, the nonnegative integers and the fuzzy scalars.
