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2013 | 48 |
Article title

On some Properties of quasi-MV √ Algebras and quasi-MV Algebras. Part IV

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PL
Abstracts
PL
In the present paper, which is a sequel to [20, 4, 12], we investigate further the structure theory of quasi-MV algebras and √ quasi-MV algebras. In particular: we provide a new representation of arbitrary √ qMV algebras in terms of √ qMV algebras arising out of their MV* term subreducts of regular elements; we investigate in greater detail the structure of the lattice of √ qMV varieties, proving that it is uncountable, providing equational bases for some of its members, as well as analysing a number of slices of special interest; we show that the variety of √ qMV algebras has the amalgamation property; we provide an axiomatisation of the 1-assertional logic of √ qMV algebras; lastly, we reconsider the correspondence between Cartesian √ qMV algebras and a category of Abelian lattice-ordered groups with operators first addressed in [10].
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PL
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Year
Volume
48
Physical description
Dates
published
2013
online
07 - 07 - 2015
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Publication order reference
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YADDA identifier
bwmeta1.element.ojs-issn-2084-2589-year-2013-volume-48-article-2904
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