| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4603482 | Linear Algebra and its Applications | 2008 | 15 Pages |
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 characterizations are obtained for many semirings including the Boolean algebra, the nonnegative reals, the nonnegative integers and the fuzzy scalars.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
