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Linear operators strongly preserving idempotent matrices over semirings

Authors
Journal
Linear Algebra and its Applications
0024-3795
Publisher
Elsevier
Publication Date
Volume
160
Identifiers
DOI: 10.1016/0024-3795(92)90448-j
Disciplines
  • Mathematics

Abstract

Abstract We consider the problem of characterizing those linear operators L on the matrices over a semiring such that L( X) is idempotent if and only if X is. Complete characterizations are obtained for many semirings, including the nonnegative reals, the nonnegative integers, the two-element Boolean algebra, and the fuzzy scalars.

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