Regularity of generalized MV-algebras (Q2725231)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Regularity of generalized MV-algebras |
scientific article; zbMATH DE number 1619019
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity of generalized MV-algebras |
scientific article; zbMATH DE number 1619019 |
Statements
18 November 2001
0 references
noncommutative generalization of MV-algebras
0 references
congruence regularity
0 references
variety
0 references
generalized MV-algebras
0 references
pseudo MV-algebras
0 references
Dvurečenskij's equivalence
0 references
0.91541445
0 references
0.90320957
0 references
0.90019155
0 references
Regularity of generalized MV-algebras (English)
0 references
Using the appropriate noncommutative generalization of MV-algebras, in his paper ``Pseudo MV-algebras are intervals of \(l\)-groups'' (to appear), \textit{A. Dvurečenskij} extended to all lattice-ordered groups the present reviewer's categorical equivalence between MV-algebras and Abelian lattice-ordered groups with strong units [\textit{D. Mundici}, J. Funct. Anal. 65, 15-63 (1986; Zbl 0597.46059)]. In the paper under review, the authors prove congruence regularity of the variety of generalized MV-algebras (also known as pseudo MV-algebras) arising from Dvurečenskij's equivalence.
0 references
