Abelian-regular positive semirings

DOI10.1007/BF02366146zbMath0984.16045OpenAlexW2072987529MaRDI QIDQ1585414

E. M. Vechtomov, V. V. Chermnyh, Alexander V. Mikhalev

Publication date: 13 November 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02366146

zbMATH Keywords

idempotentsinvertible elementslattices of congruencesbounded distributive latticesstrongly regular ringsAbelian-regular positive semiringsarp-semiringscategories of Boolean semiringsidempotent arp-semiringspre-Boolean semiringssemiskewfields

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) Semirings (16Y60) Structure theory of Boolean algebras (06E05) Generalizations of fields (12K99) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items

ON SOME PROPERTIES OF A Γ-SEMIRING, Functional representations of semirings., Semifields and their properties

Cites Work

• Non-homogeneous media and vibration theory
• Annihilator characterizations of Boolean rings and Boolean lattices
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• On the Convergence of the Energy, Stress Tensors, and Eigenvalues in Homogenization Problems of Elasticity
• Electromagnetic Scattering by a Slender Body of Revolution: Axially Incident Plane Wave
• On projectivity of free objects
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