Covers of the Abelian Variety of Generalized MV-Algebras

DOI10.1080/00927870902828868zbMath1190.06009OpenAlexW2190437120MaRDI QIDQ3653334

Anatolij Dvurečenskij, W. Charles Holland

Publication date: 22 December 2009

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

Full work available at URL: https://doi.org/10.1080/00927870902828868

zbMATH Keywords

representationvarietypseudo MV-algebrasGMV-algebrasunital lattice-ordered groupsScrimger group

Mathematics Subject Classification ID

MV-algebras (06D35) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (5)

Cyclic elements and subalgebras of GMV-algebras ⋮ How Do $$\ell $$-Groups and Po-Groups Appear in Algebraic and Quantum Structures? ⋮ On decomposition of pseudo BL-algebras ⋮ W. Charles Holland, 75th birthday ⋮ On the structure of pseudo BL-algebras and pseudo hoops in quantum logics

Cites Work

• Unnamed Item
• Unnamed Item
• Special-valued \(l\)-groups and Abelian covers
• On \(n\)-perfect GMV-algebras
• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Varieties of lattice ordered groups that contain no non-Abelian o-groups are solvable
• Free lattice-ordered Abelian groups
• On Varieties of Pseudo MV-Algebras
• Perfect GMV-Algebras
• A very large class of small varieties of lattice-ordered groups¹
• A non-commutative generalization of MV-algebras
• Pseudo MV-algebras are intervals in ℓ-groups
• Top Varieties of Generalized MV-Algebras and Unital Lattice-Ordered Groups
• States on pseudo MV-algebras

This page was built for publication: Covers of the Abelian Variety of Generalized MV-Algebras