Representation of perfect and n-perfect pseudo effect algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F23%3A73621043" target="_blank" >RIV/61989592:15310/23:73621043 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0165011422003463" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011422003463</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2022.08.015" target="_blank" >10.1016/j.fss.2022.08.015</a>

Result language
angličtina
Original language name
Representation of perfect and n-perfect pseudo effect algebras
Original language description
A perfect (an n-perfect) pseudo effect algebra can be decomposed into two (n + 1 many) non-empty and mutually comparable slices. They generalize perfect MV-algebras studied in [5]. We characterize such a pseudo effect algebra as an interval in the semidirect product of the po-group Z or n1 Z with a directed po-group G satisfying a stronger type of the Riesz Decomposition Property, RDP1, and the semidirect product is ordered lexicographically. We show that the category of perfect and the category of n-perfect pseudo effect algebras with RDP1 are categorically equivalent to a special category of directed po-groups satisfying RDP1.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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