A representation of basic algebras by coupled right near semirings

DOI10.14232/actasm-014-307-zzbMath1363.03037OpenAlexW4247717469MaRDI QIDQ2834199

Helmut Länger, Ivan Chajda

Publication date: 25 November 2016

Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/actasm-014-307-z

zbMATH Keywords

basic algebraright near semiringcoupled right near semiringmonotonous basic algebraweakly monotonous basic algebra

Mathematics Subject Classification ID

Near-rings (16Y30) Other algebras related to logic (03G25) MV-algebras (06D35) Semirings (16Y60)

Related Items

General coupled semirings of residuated lattices, A representation of lattice effect algebras by means of right near semirings with involution, Coupled right orthosemirings induced by orthomodular lattices, A representation of residuated lattices satisfying the double negation law

Cites Work

• Many-valued quantum algebras
• Commutative basic algebras and coupled near semirings
• MV-semirings and their sheaf representations
• Ideals and congruences of basic algebras
• An example of a commutative basic algebra which is not an MV-algebra
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