Bi-ideals in k-regular and intra k-regular semirings

DOI10.7151/dmgaa.1172zbMath1254.16040OpenAlexW2116591269MaRDI QIDQ5891717

Arun K. Bhuniya, Kanchan Jana

Publication date: 5 September 2012

Published in: Discussiones Mathematicae - General Algebra and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7151/dmgaa.1172

zbMATH Keywords

\(k\)-regular semirings\(k\)-bi-idealsintra regular semiringsquasi \(k\)-idealssemiprimary subsets

Mathematics Subject Classification ID

Semirings (16Y60) Ideals in associative algebras (16D25) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (11)

Semigroup of \(k\)-bi-ideals of a semiring with semilattice additive reduct. ⋮ Representation of normal bands as semigroups of \(k\)-bi-ideals of a semiring ⋮ On minimal bi-ideal elements of an \(le\)-semigroup ⋮ Characterizations of ordered k-regular semirings by ordered k-ideals ⋮ Interval-valued fuzzy \(k\)-quasi-ideals and \(k\)-regularity of semirings. ⋮ Characterizations of regular and \(k\)-regular semirings by pure ideals and pure \(k\)-ideals ⋮ Minimal \(k\)-bi-ideals and strong quasi \(k\)-ideals in an ai-semiring ⋮ On the subsemiring generated by almost idempotents of a \(k\)-regular semiring ⋮ Semirings which are distributive lattices of \(t\)-\(k\)-simple semirings. ⋮ Unnamed Item ⋮ On characterization of minimal $k$-bi-ideals in $k$-regular and completely $k$-regular semirings

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