2013
Maximal Subsets of Pairwise Summable Elements in Generalized Effect Algebras
RIEČANOVÁ, Zdenka and Jiří JANDABasic information
Original name
Maximal Subsets of Pairwise Summable Elements in Generalized Effect Algebras
Authors
RIEČANOVÁ, Zdenka (703 Slovakia) and Jiří JANDA (203 Czech Republic, guarantor, belonging to the institution)
Edition
Acta Polytechnica, ČVUT, 2013, 1210-2709
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
Czech Republic
Confidentiality degree
is not subject to a state or trade secret
References:
RIV identification code
RIV/00216224:14310/13:00070294
Organization unit
Faculty of Science
UT WoS
000433672400012
Keywords in English
(generalized) effect algebra; MV-effect algebra; summability block; compatibility block; linear operators in Hilbert spaces
Changed: 27/11/2013 18:32, Mgr. Jiří Janda, Ph.D.
Abstract
V originále
We show that in any generalized effect algebra (G;+,0) a maximal pairwise summable subset is a sub-generalized effect algebra of (G;+, 0), called a summability block. If G is lattice ordered, then every summability block in G is a generalized MV-effect algebra. Moreover, if every element of G has an infinite isotropic index, then G is covered by its summability blocks, which are generalized MV-effect algebras in the case that G is lattice ordered. We also present the relations between summability blocks and compatibility blocks of G. Counterexamples, to obtain the required contradictions in some cases, are given.
Links
| EE2.3.20.0051, research and development project |
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| MSM0021622409, plan (intention) |
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