About: More about sharp and meager elements in Archimedean atomic lattice effect algebras

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://www.springerlink.com/content/1271803j0uj5646x/
Description	The aim of our paper is twofold. First, we thoroughly study the set of meager elements M(E), the center C(E) and the compatibility center B(E) in the setting of atomic Archimedean lattice effect algebras E. The main result is that in this case the center C(E) is bifull (atomic) iff the compatibility center B(E) is bifull (atomic) whenever E is sharply dominating. As a by-product, we give a new description of the smallest sharp element over x is an element of E via the basic decomposition of x: Second, we prove the Triple Representation Theorem for sharply dominating atomic Archimedean lattice effect algebras. The aim of our paper is twofold. First, we thoroughly study the set of meager elements M(E), the center C(E) and the compatibility center B(E) in the setting of atomic Archimedean lattice effect algebras E. The main result is that in this case the center C(E) is bifull (atomic) iff the compatibility center B(E) is bifull (atomic) whenever E is sharply dominating. As a by-product, we give a new description of the smallest sharp element over x is an element of E via the basic decomposition of x: Second, we prove the Triple Representation Theorem for sharply dominating atomic Archimedean lattice effect algebras. (en)
Title	More about sharp and meager elements in Archimedean atomic lattice effect algebras More about sharp and meager elements in Archimedean atomic lattice effect algebras (en)
skos:prefLabel	More about sharp and meager elements in Archimedean atomic lattice effect algebras More about sharp and meager elements in Archimedean atomic lattice effect algebras (en)
skos:notation	RIV/00216224:14310/12:00059429!RIV13-MSM-14310___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(EE2.3.20.0051), Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Paseka, Jan Niederle, Josef
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Masarykova univerzita / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	151806
http://linked.open...ai/riv/idVysledku	RIV/00216224:14310/12:00059429
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Lattice effect algebra; Center; Atom; MacNeille completion; Sharp element; Meager element (en)
http://linked.open.../riv/klicoveSlovo	Center Atom Lattice effect algebra Sharp element MacNeille completion Meager element
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[F0670BE57F48]
http://linked.open...i/riv/nazevZdroje	Soft computing
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Algebraic methods in Quantum Logic
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	16
http://linked.open...iv/tvurceVysledku	Paseka, Jan Niederle, Josef
http://linked.open...ain/vavai/riv/wos	000298996100009
http://linked.open...n/vavai/riv/zamer	Matematické struktury a jejich fyzikální aplikace
issn	1432-7643
number of pages	11 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/s00500-011-0738-8
http://localhost/t...ganizacniJednotka	14310

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