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$\mathbb H$-perfect pseudo MV-algebras and their representations

In: Mathematica Slovaca, vol. 65, no. 4
Anatolij Dvurečenskij

Details:

Year, pages: 2015, 761 - 788
Keywords:
pseudo MV-algebra, $\ell$-group, unital $\ell$-group, strong unit, Riesz Decomposition Property, lexicographic product, $H$-perfect pseudo MV-algebra, strong $\mathbb H$-perfect pseudo MV-algebra, weak $\mathbb H$-perfect pseudo MV-algebra
About article:
We study $\mathbb H$-perfect pseudo MV-algebras, that is, algebras which can be split into a system of ordered slices indexed by the elements of an subgroup $\mathbb H$ of the group of the real numbers. We show when they can be represented as a lexicographic product of $\mathbb H$ with some $\ell$-group. In addition, we show also a categorical equivalence of this category with the category of $\ell$-groups.
How to cite:
ISO 690:
Dvurečenskij, A. 2015. $\mathbb H$-perfect pseudo MV-algebras and their representations. In Mathematica Slovaca, vol. 65, no.4, pp. 761-788. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0054

APA:
Dvurečenskij, A. (2015). $\mathbb H$-perfect pseudo MV-algebras and their representations. Mathematica Slovaca, 65(4), 761-788. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0054
About edition:
Published: 1. 8. 2015