On simpleness of semirings and complete semirings

DOI10.1142/S0219498814500157zbMath1304.16049arXiv1105.5591OpenAlexW2963693661MaRDI QIDQ5420684

Jens Zumbrägel, Tran Giang Nam, Yefim Katsov

Publication date: 13 June 2014

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

Full work available at URL: https://arxiv.org/abs/1105.5591

zbMATH Keywords

distributive latticessimple semiringscongruence-simple semiringscomplete semiringscomplete congruencesideal-simple semiringslattice ordered semiringscongruence-simple complete hemirings

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Subalgebras, congruence relations (08A30) Semirings (16Y60) Ordered rings, algebras, modules (06F25) Distributive lattices (06D99)

Related Items (17)

Injective semimodules-revisited ⋮ Simpleness of Leavitt path algebras with coefficients in a commutative semiring ⋮ On V-semirings and Semirings All of Whose Cyclic Semimodules Are Injective ⋮ Derivations of some classes of additively idempotent semirings ⋮ On Steinberg algebras of Hausdorff ample groupoids over commutative semirings ⋮ Axiomatizability of homological classes of semimodules over semirings ⋮ Projections on right and left ideals of endomorphism semiring which are derivations ⋮ Pushouts and e-projective semimodules ⋮ Toward homological characterization of semirings by e-injective semimodules ⋮ Toward homological structure theory of semimodules: on semirings all of whose cyclic semimodules are projective ⋮ Morita equivalence of semirings with local units ⋮ Idempotence of finitely generated commutative semifields ⋮ Morita invariants of semirings ⋮ On Radicals of Semirings and Related Problems ⋮ Congruence-simplicity of Steinberg algebras of non-Hausdorff ample groupoids over semifields ⋮ On semisimple semirings ⋮ Morita invariants of semirings-II

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• On Subtractive Semisimple Semirings
• Simple commutative semirings

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