Invertible matrices over a class of semirings

DOI10.1142/S0219498823500792OpenAlexW4200049713MaRDI QIDQ5882578

David Dolžan

Publication date: 17 March 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823500792

zbMATH Keywords

idempotentinvertible matrixsemiringnilpotentcommuting graph

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Semirings (16Y60) Units, groups of units (associative rings and algebras) (16U60)

Related Items (1)

The unitary Cayley graph of a semiring

Cites Work

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• Diameters of commuting graphs of matrices over semirings
• Commuting graphs of matrices over semirings.
• Invertible matrices and semilinear spaces over commutative semirings
• On the diameters of commuting graphs
• On invertible matrices over antirings
• On diameter of the commuting graph of a full matrix algebra over a finite field
• Invertible and nilpotent matrices over antirings
• Inversion of matrices over a commutative semiring
• Commuting Graphs of Matrix Algebras
• The commuting graphs of finite rings
• On invertible matrices over commutative semirings

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