Generalized MV-algebras

By Nikolaos Galatos, Constantine Tsinakis. 2005

159 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/7eb0f17a30057bdaa9b9a2a5313beb81045d456f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Peter Jipsen
2. Constantine Tsinakis
3. Franco Montagna
4. Nikolaos Galatos
5. George Metcalfe

In Management Science and Operations Research

1. Peter Jipsen
2. Franco Montagna
3. Constantine Tsinakis
4. Nikolaos Galatos
5. George Metcalfe

Citations in the corpus

• The Blok–Ferreirim theorem for normal GBL-algebras and its application (2009, background): “[ GT05 ]), and since by the preceding lemma e is join-irreducible in A, the claim follows.”
• On the structure of generalized BL-algebras (2006, background): “1 0 denoting the least element of the algebra, together with the equations for residuated lattices, integral GBL-algebras, and prelinearity : 1 ≤ (x/y ∨ y/x) ∧ (x\y ∨ y\x).”
• Residuated frames with applications to decidability (2012, background): “[15] Let γ be a closure operator on a residuated pogroupoid G.”
• Minimal varieties of residuated lattices (2005, background): “The variety of lattice-ordered groups (� -groups), see [1] for the definition, is term equivalent to the subvariety LG of residuated lattices axiomatized by ( e/x )x ≈ e, see [2, 10 ] for details.”
• AMALGAMATION AND INTERPOLATION IN ORDERED ALGEBRAS (2014, background): “A GBL-algebra (see [25]) is a residuated lattice satisfying the divisibility condition”