Pierce sheaves of pseudo EMV-algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F22%3A73616847" target="_blank" >RIV/61989592:15310/22:73616847 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00500-022-07271-w" target="_blank" >https://link.springer.com/article/10.1007/s00500-022-07271-w</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-022-07271-w" target="_blank" >10.1007/s00500-022-07271-w</a>
Alternative languages
Result language
angličtina
Original language name
Pierce sheaves of pseudo EMV-algebras
Original language description
We study a Pierce sheaf representation of pseudo EMV-algebras which are a non-commutative generalization of MV-algebras, pseudo MV-algebras and of generalized Boolean algebras, so that the top element is not assumed a priori. We present one sheaf using a Boolean type of representation and the main results are concerning the Hausdorff sheaf representation of representable pseudo EMV-algebras. For this aim, we study also the space of maximal ideals not necessarily normal and the space of minimal prime ideals to give conditions when these spaces are compact/locally compact in the hull-kernel topology and when they imply existence of a top element.
Czech name
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Czech description
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Classification
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)
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SOFT COMPUTING
ISSN
1432-7643
e-ISSN
1433-7479
Volume of the periodical
26
Issue of the periodical within the volume
17
Country of publishing house
US - UNITED STATES
Number of pages
19
Pages from-to
8351-8369
UT code for WoS article
000818600400004
EID of the result in the Scopus database
2-s2.0-85133210770