IDEMPOTENT MATRIX PRESERVERS OVER BOOLEAN ALGEBRAS

IDEMPOTENT MATRIX PRESERVERS OVER BOOLEAN ALGEBRAS

We consider the set of $n{\times}n$ idempotent matrices and we characterize the linear operators that preserve idempotent matrices over Boolean algebras. We also obtain characterizations of linear operators that preserve idempotent matrices over a chain semiring, the nonnegative integers and the non...

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Veröffentlicht in:Journal of the Korean Mathematical Society 2007, 44(1), , pp.169-178
Hauptverfasser: Song, Seok-Zun, Kang, Kyung-Tae, Beasley, Leroy B.
Format: Artikel
Sprache:eng ; kor
Schlagworte:
수학
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Zusammenfassung:We consider the set of $n{\times}n$ idempotent matrices and we characterize the linear operators that preserve idempotent matrices over Boolean algebras. We also obtain characterizations of linear operators that preserve idempotent matrices over a chain semiring, the nonnegative integers and the nonnegative reals.
ISSN:0304-9914
2234-3008
DOI:10.4134/JKMS.2007.44.1.169