Concerning cone algebras

DOI10.1007/BF02483708zbMath0507.06013MaRDI QIDQ1837219

Bruno Bosbach

Publication date: 1982

Published in: Algebra Universalis (Search for Journal in Brave)

zbMATH Keywords

cone algebrabrickscone algebra of lattice- ordered groupcone of lattice-ordered group

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Ordered groups (06F15)

Related Items (26)

BCK-monoids ⋮ On (semi)topology L-algebras ⋮ Projectable \(\ell\)-groups and algebras of logic: categorical and algebraic connections. ⋮ From partially ordered monoids to partially ordered groups via free nuclear preimages ⋮ Pseudo-BCK algebras as partial algebras ⋮ Intervals in \(l\)-groups as \(L\)-algebras ⋮ Concerning semiclans ⋮ Quantum B-algebras ⋮ SEMIDIRECT PRODUCTS IN ALGEBRAIC LOGIC AND SOLUTIONS OF THE QUANTUM YANG–BAXTER EQUATION ⋮ Deductive systems of a cone algebra — I: Semi-ℓg-cones ⋮ Deductive systems of a cone algebra — II: Isomorphism theorem ⋮ \(L\)-algebras, self-similarity, and \(l\)-groups ⋮ Concerning bricks ⋮ Commutative extended BCK-algebras ⋮ Generalized MV-algebras ⋮ Divisibility groupoids -- again ⋮ Bricks and pseudo MV-algebras are equivalent ⋮ Some properties of pseudo-BCK- and pseudo-BCI-algebras ⋮ Representations of pseudo Vitali spaces and Loomis–Sikorski theorem ⋮ A note on Bosbach's cone algebras ⋮ On the structure of linearly ordered pseudo-BCK-algebras ⋮ Banaschewski’s theorem for GMV-algebras ⋮ Residuation groupoids ⋮ State \(L\)-algebras and derivations of \(L\)-algebras ⋮ Quantifiers on L-algebras ⋮ From interior algebras to unital \(\ell\)-groups: a unifying treatment of modal residuated lattices

Cites Work

• Residuation groupoids
• Concerning semiclans
• Concerning bricks
• Free Sums of Groups and Their Generalizations. An Analysis of the Associative Law
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