×

zbMATH — the first resource for mathematics

Products of classes of residuated structures. (English) Zbl 1072.06003
The paper brings interesting results about varieties of residuated lattices or residuated partially ordered monoids. The central result characterizes the join of the variety of integral residuated lattices and the variety of lattice-ordered groups. Since this join is their direct product, the authors were led to the description of the semi-direct product of these two varieties. Moreover, a connection with the theory of MV-algebras is presented.

MSC:
06B20 Varieties of lattices
06F05 Ordered semigroups and monoids
06F15 Ordered groups
06D35 MV-algebras
PDF BibTeX XML Cite
Full Text: DOI