Multipotent GBL-algebras

DOI10.1007/s00012-010-0085-0zbMath1206.06009OpenAlexW1998275836MaRDI QIDQ616119

Anatolij Dvurečenskij, Tomasz Kowalski

Publication date: 7 January 2011

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

Full work available at URL: https://doi.org/10.1007/s00012-010-0085-0

zbMATH Keywords

commutativity\(n\)-potencyArchimedean \(l\)-groupGBL-algebra

Mathematics Subject Classification ID

Other algebras related to logic (03G25) MV-algebras (06D35) Ordered semigroups and monoids (06F05) Ordered groups (06F15)

Related Items (1)

The Archimedean property: new horizons and perspectives

Uses Software

• Pseudo Hoops

Cites Work

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• On the structure of generalized BL-algebras
• Residuated lattices. An algebraic glimpse at substructural logics
• Aglianò-Montagna type decomposition of linear pseudo hoops and its applications
• Generalized MV-algebras
• On the structure of hoops
• Equational characterization of all varieties of MV-algebras
• Basic hoops: an algebraic study of continuous t-norms
• The Blok-Ferreirim theorem for normal GBL-algebras and its application
• Super-Łukasiewicz propositional logics
• 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

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