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Kites and representations of pseudo MV-algebras

2023
journal article
article
10.1016/j.fss.2022.09.014
Journal
Fuzzy Sets and Systems
140
Author
Kowalski Tomasz

Botur Michal
Volume
455
Pages
158-182
ISSN
0165-0114
eISSN
1872-6801
Remarks

Online First 2022-10-05

Language
English
Journal language
English
Abstract in English

We investigate the structure of perfect residuated lattices, focussing especially on perfect pseudo MV-algebras. We show that perfect pseudo MV-algebras can be represented as a generalised version of kites of Dvurecenskij and Kowalski, and that they are categorically equivalent to l-groups with a distinguished automorphism. We then characterise varieties generated by kites and describe the lattice of these varieties as a complete sublattice of the lattice of perfectly generated varieties of perfect pseudo MV-algebras.

Affiliation
Wydział Filozoficzny : Instytut Filozofii
Scopus© citations
1
dc.abstract.enWe investigate the structure of perfect residuated lattices, focussing especially on perfect pseudo MV-algebras. We show that perfect pseudo MV-algebras can be represented as a generalised version of kites of Dvurecenskij and Kowalski, and that they are categorically equivalent to l-groups with a distinguished automorphism. We then characterise varieties generated by kites and describe the lattice of these varieties as a complete sublattice of the lattice of perfectly generated varieties of perfect pseudo MV-algebras.pl
dc.affiliationWydział Filozoficzny : Instytut Filozofiipl
dc.contributor.authorKowalski, Tomasz - 456998 pl
dc.contributor.authorBotur, Michalpl
dc.date.accessioned2022-12-27T11:01:53Z
dc.date.available2022-12-27T11:01:53Z
dc.date.issued2023pl
dc.description.additionalOnline First 2022-10-05pl
dc.description.physical158-182pl
dc.description.volume455pl
dc.identifier.doi10.1016/j.fss.2022.09.014pl
dc.identifier.eissn1872-6801pl
dc.identifier.issn0165-0114pl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/305252
dc.languageengpl
dc.language.containerengpl
dc.rights*
dc.rights.licenceBez licencji otwartego dostępu
dc.rights.uri*
dc.subtypeArticlepl
dc.titleKites and representations of pseudo MV-algebraspl
dc.title.journalFuzzy Sets and Systemspl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
We investigate the structure of perfect residuated lattices, focussing especially on perfect pseudo MV-algebras. We show that perfect pseudo MV-algebras can be represented as a generalised version of kites of Dvurecenskij and Kowalski, and that they are categorically equivalent to l-groups with a distinguished automorphism. We then characterise varieties generated by kites and describe the lattice of these varieties as a complete sublattice of the lattice of perfectly generated varieties of perfect pseudo MV-algebras.
dc.affiliationpl
Wydział Filozoficzny : Instytut Filozofii
dc.contributor.authorpl
Kowalski, Tomasz - 456998
dc.contributor.authorpl
Botur, Michal
dc.date.accessioned
2022-12-27T11:01:53Z
dc.date.available
2022-12-27T11:01:53Z
dc.date.issuedpl
2023
dc.description.additionalpl
Online First 2022-10-05
dc.description.physicalpl
158-182
dc.description.volumepl
455
dc.identifier.doipl
10.1016/j.fss.2022.09.014
dc.identifier.eissnpl
1872-6801
dc.identifier.issnpl
0165-0114
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/305252
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
dc.rights.licence
Bez licencji otwartego dostępu
dc.rights.uri*
dc.subtypepl
Article
dc.titlepl
Kites and representations of pseudo MV-algebras
dc.title.journalpl
Fuzzy Sets and Systems
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Filozoficzny
Kowalski, Tomasz
No affiliation
Botur, Michal

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