Varieties of BL- algebras I: General properties.

By P. Aglianó, Franco Montagna. 2003

227 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/02b2cf8cdf333d3e9c142092377791d339e8b0f4

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. Franco Montagna
3. Constantine Tsinakis
4. George Metcalfe
5. Nikolaos Galatos

In Management Science and Operations Research

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

Citations in the corpus

• AMALGAMATION AND INTERPOLATION IN ORDERED ALGEBRAS (2014, methodology): “Moreover, the following is established in [1] (using the terminology of hoops):”
• 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).”
• The Blok–Ferreirim theorem for normal GBL-algebras and its application (2009, background): “... the algebraic semantics for Lukasiewicz logic, and l-groups ([Mu86], see also [Dv02] for the noncommutative case) have been extended to BL-algebras [AM03]: every totally ordered BL-algebra can be represented as an ordinal sum of an indexed family of negative cones of abelian l-groups and of MV-a”