On a new construction of pseudo effect algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33151122" target="_blank" >RIV/61989592:15310/15:33151122 - isvavai.cz</a>
Result on the web
<a href="http://download.springer.com/static/pdf/915/art%253A10.1007%252Fs00500-014-1468-5.pdf?auth66=1425555753_e987286a1f66c0c254adbf439b08d78f&ext=.pdf" target="_blank" >http://download.springer.com/static/pdf/915/art%253A10.1007%252Fs00500-014-1468-5.pdf?auth66=1425555753_e987286a1f66c0c254adbf439b08d78f&ext=.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-014-1468-5" target="_blank" >10.1007/s00500-014-1468-5</a>
Alternative languages
Result language
angličtina
Original language name
On a new construction of pseudo effect algebras
Original language description
We define a new class of pseudo effect algebras, called kite pseudo effect algebras, which are connected not necessarily with partially ordered groups, but rather with generalized pseudo effect algebras where the greatest element is not guaranteed. Starting even with a commutative generalized pseudo effect algebra, we can obtain a non-commutative pseudo effect algebra. We show how such kite pseudo effect algebras are tied with different types of the Riesz decomposition properties. We find conditions when kite pseudo effect algebras have the least non-trivial normal ideal.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/EE2.3.20.0051" target="_blank" >EE2.3.20.0051: Algebraic methods in Quantum Logic</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2015
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: a fusion of foundations, methodologies and applications
ISSN
1432-7643
e-ISSN
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Volume of the periodical
19
Issue of the periodical within the volume
3
Country of publishing house
DE - GERMANY
Number of pages
13
Pages from-to
517-529
UT code for WoS article
000351409400001
EID of the result in the Scopus database
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