Affiliation:
1. Mathematical Institute Slovak Academy of Sciences Štefánikova 49 SK-814 73 Bratislava SLOVAKIA
2. Department of Algebra and Geometry Palacký University 17. listopadu 12 CZ-771 46 Olomouc CZECH REPUBLIC
Abstract
Abstract
We study ℍ-perfect pseudo MV-algebras, that is, algebras which can be split into a system of ordered slices indexed by the elements of an subgroup ℍ of the group of the real numbers. We show when they can be represented as a lexicographic product of ℍ with some ℓ-group. In addition, we show also a categorical equivalence of this category with the category of ℓ-groups.
Cited by
4 articles.
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1. Observables on lexicographic MV-algebras;International Journal of General Systems;2019-07-22
2. Pseudo MV-algebras and lexicographic product;Fuzzy Sets and Systems;2016-11
3. Lexicographic effect algebras;Algebra universalis;2016-02-09
4. Lexicographic pseudo MV-algebras;Journal of Applied Logic;2015-12