Idempotent matrices over antirings

DOI10.1016/j.laa.2009.03.035zbMath1173.15009OpenAlexW1992528059MaRDI QIDQ1030745

Polona Oblak, David Dolžan

Publication date: 2 July 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.03.035

zbMATH Keywords

orbitslinear preserverdigraphsidempotent matrixcommutative antiringconjugate action

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear transformations, semilinear transformations (15A04) Semirings (16Y60)

Related Items (4)

Inner products on semimodules over a commutative semiring. ⋮ On the ranks of idempotent matrices over skew semifields ⋮ Bases in semimodules over commutative semirings ⋮ On nilpotent subsemigroups of the matrix semigroup over an antiring.

Cites Work

• Invertible and nilpotent matrices over antirings
• Inclines and incline matrices: A survey.
• NONBIJECTIVE IDEMPOTENTS PRESERVERS OVER SEMIRINGS
• IDEMPOTENT MATRIX PRESERVERS OVER BOOLEAN ALGEBRAS
• STRUCTURES OF IDEMPOTENT MATRICES OVER CHAIN SEMIRINGS

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