Title of article
Regular matrices and their strong preservers over semirings Original Research Article
Author/Authors
Seok Zun Song، نويسنده , , Kyung-Tae Kang، نويسنده , , LeRoy B. Beasley، نويسنده , , Nung-Sing Sze، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
15
From page
209
To page
223
Abstract
An m×n matrix A over a semiring image is called regular if there is an n×m matrix G over image 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 characterizations are obtained for many semirings including the Boolean algebra, the nonnegative reals, the nonnegative integers and the fuzzy scalars.
Keywords
Semiring , Generalized inverse of a matrix , Regular matrix , Linear operator
Journal title
Linear Algebra and its Applications
Serial Year
2008
Journal title
Linear Algebra and its Applications
Record number
825994
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