Residuation groupoids

DOI10.1007/BF03323308zbMath0513.06007OpenAlexW4241940591MaRDI QIDQ1050379

Bruno Bosbach

Publication date: 1982

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323308

zbMATH Keywords

abelian l-group coneleft cancellative right complementary semigroupresiduation groupoidright complementary semigroups

Mathematics Subject Classification ID

Ordered semigroups and monoids (06F05) Semigroups (20M99)

Related Items (15)

Pseudo Commutative Double Basic Algebras ⋮ BCK-monoids ⋮ Projectable \(\ell\)-groups and algebras of logic: categorical and algebraic connections. ⋮ An algebraic generalization of the notion of tribe ⋮ Quantum B-algebras: their omnipresence in algebraic logic and beyond ⋮ Deductive systems of a cone algebra — II: Isomorphism theorem ⋮ States on Hilbert algebras ⋮ Generalized MV-algebras ⋮ Divisibility groupoids -- again ⋮ Bricks and pseudo MV-algebras are equivalent ⋮ A note on Bosbach's cone algebras ⋮ Concerning cone algebras ⋮ On residuated lattices with left and right internal state ⋮ A general Glivenko theorem ⋮ Finitely axiomatizable varieties of BCK-algebras

Cites Work

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• Completely distributive lattice-ordered groups
• Concerning semiclans
• Concerning cone algebras
• Lattice-ordered groups
• Concerning bricks
• Komplementäre Halbgruppen. Axiomatik und Arithmetik
• Free Sums of Groups and Their Generalizations. An Analysis of the Associative Law
• Measures in Boolean Algebras

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