Pseudo MV-algebras are intervals in ℓ-groups
By Anatolij Dvurecenskij. Journal of the Australian Mathematical Society, 2002
238 citations recorded by the source corpus.
Subfields: Artificial Intelligence, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/09eb64f1eca92edeeb7d73980fbac97cae692085
How researchers see this paper
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In Artificial Intelligence
- Nikolaos Galatos
- Franco Montagna
- Constantine Tsinakis
- Lavinia Corina Ciungu
- Peter Jipsen
- George Georgescu
- Laurentiu Leustean
In Computational Theory and Mathematics
- Peter Jipsen
- Lavinia Corina Ciungu
- Franco Montagna
- Constantine Tsinakis
- Nikolaos Galatos
- George Georgescu
- Laurentiu Leustean
- Anatolij Dvurecenskij
Citations in the corpus
- Classes of residuated lattices (2006, background): “As answer of this question we have : (1) Every Archimedean `-group is commutative ([2]) ; (2) Every Archimedean pseudo MV-algebra is commutative, i.e. an MV-algebra ([8]); (3) Generally, an Archimedean pseudo MTL-algebra is not commutative ([5]); (4) By Example 5.5 we proved that, generally, an Arch”
- Some classes of pseudo-BL algebras (2002, background): “Conversely, suppose that a 2 B. A/, hence there is b 2 A such that a _ b D 1a nda ^ b D 0. Let c D e _ b. Then c e and a _ c D 1, a ^ c D a ^.e _ b/ D.a ^ e/ _.a ^ b/ D e _ 0 D e. [ 9 ] Some classes of pseudo-BL algebras 135”
- Generalized MV-algebras (2005, background): “Dvurečenskij [10].”
- Central elements and Cantor-Bernstein's theorem for pseudo-effect algebras (2003, background): “According to [ 7, Theorem 4.2 ], M is commutative, that is, an MV-algebra.”
- On the structure of generalized BL-algebras (2006, background): “However all these examples satisfy the identities x ∨ y = x/((x ∨ y)\x) = (x/(x ∨ y))\x that define generalized MV-algebras ([11]), called GMV-algebras for short (see also [7] for the bounded version).”
- The Blok–Ferreirim theorem for normal GBL-algebras and its application (2009, background): “Size n = 1 2 3 4 5 6 7 GBL-algebras 1 1 2 5 10 23 49 si GBL-algebras 0 1 2 4 9 19 42 BL-algebras 1 1 2 5 9 20 38 si BL-algebras 0 1 2 4 8 16 32 Peter Jipsen* and Franco Montagna (Chapman University Department of Mathematics and Computer Science Orange, CalifoThe Blok-Ferreirim theorem for normal GBL”