A regularity criterion for complete matrix semirings

DOI10.1023/A:1012391611309zbMath1025.16026OpenAlexW86358435MaRDI QIDQ1809984

S. N. Il'in

Publication date: 15 June 2003

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1012391611309

zbMATH Keywords

idempotentsregular elementsmatrix semiringsregular semiringsarp-semiringszero sum free semirings

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Endomorphism rings; matrix rings (16S50) Semirings (16Y60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (6)

On V-semirings and Semirings All of Whose Cyclic Semimodules Are Injective ⋮ On simultaneously nilpotent antiring matrices ⋮ On invertible matrices over antirings ⋮ On nilpotent matrices over antirings ⋮ On nilpotency of matrices over antirings ⋮ Matrix semigroups over semirings

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