Matrix semigroups with commutable rank.

zbMath1049.20037MaRDI QIDQ1423724

Heydar Radjavi, Leo Livshits, Okniński, Jan, Ben Mathes, Gordon Wilson MacDonald

Publication date: 7 March 2004

Published in: Semigroup Forum (Search for Journal in Brave)

zbMATH Keywords

idempotentsmatrix algebrasnilpotent matricesmatrix rankmatrix semigroupsirreducible semigroupsalgebras of nilpotentscommutable rankcommutable-rank algebrascommutable-rank semigroupspermutable rankpermutable-rank semigroupszero divisor pairs

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Groups and semigroups of linear operators (47D03) Algebraic systems of matrices (15A30) Vector spaces, linear dependence, rank, lineability (15A03)

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