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@article{1082292, author = {Niederle, Josef and Paseka, Jan}, article_location = {AMSTERDAM}, article_number = {1 January 2013}, doi = {http://dx.doi.org/10.1016/j.fss.2012.07.009}, keywords = {Homogeneous effect algebra; Orthocomplete effect algebra; Lattice effect algebra; Center; Atom; Sharp element; Meager element; Hypermeager element; Ultrameager element}, language = {eng}, issn = {0165-0114}, journal = {FUZZY SETS AND SYSTEMS}, title = {Homogeneous orthocomplete effect algebras are covered by MV-algebras}, volume = {210}, year = {2013} }
TY - JOUR ID - 1082292 AU - Niederle, Josef - Paseka, Jan PY - 2013 TI - Homogeneous orthocomplete effect algebras are covered by MV-algebras JF - FUZZY SETS AND SYSTEMS VL - 210 IS - 1 January 2013 SP - 89-101 EP - 89-101 PB - ELSEVIER SCIENCE BV SN - 01650114 KW - Homogeneous effect algebra KW - Orthocomplete effect algebra KW - Lattice effect algebra KW - Center KW - Atom KW - Sharp element KW - Meager element KW - Hypermeager element KW - Ultrameager element N2 - The aim of our paper is twofold. First, we thoroughly study the sets of meager and hypermeager elements. Second, we study a common generalization of orthocomplete and lattice effect algebras. We show that every block of an Archimedean homogeneous effect algebra satisfying this generalization is lattice ordered. Hence such effect algebras can be covered by ranges of observables. As a corollary, this yields that every block of a homogeneous orthocomplete effect algebra is lattice ordered. Therefore finite homogeneous effect algebras are covered by MV-algebras. (C) 2012 Elsevier B.V. All rights reserved. ER -
NIEDERLE, Josef a Jan PASEKA. Homogeneous orthocomplete effect algebras are covered by MV-algebras. \textit{FUZZY SETS AND SYSTEMS}. AMSTERDAM: ELSEVIER SCIENCE BV, 2013, roč.~210, 1 January 2013, s.~89-101. ISSN~0165-0114. Dostupné z: https://dx.doi.org/10.1016/j.fss.2012.07.009.
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