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@article{967842, author = {Paseka, Jan and Riečanová, Zdenka and Kalina, Martin and Olejček, Vladimír}, article_location = {NEW YORK}, article_number = {4}, doi = {http://dx.doi.org/10.1007/s10773-010-0338-x}, keywords = {Lattice effect algebra; MV-effect algebra; Sharp element; Sharply dominating effect algebra; Atom; Atomic}, language = {eng}, issn = {0020-7748}, journal = {International Journal of Theoretical Physics}, title = {Sharply Dominating MV-Effect Algebras}, url = {http://www.springerlink.com/content/92867r1358519332/}, volume = {50}, year = {2011} }
TY - JOUR ID - 967842 AU - Paseka, Jan - Riečanová, Zdenka - Kalina, Martin - Olejček, Vladimír PY - 2011 TI - Sharply Dominating MV-Effect Algebras JF - International Journal of Theoretical Physics VL - 50 IS - 4 SP - 1152-1159 EP - 1152-1159 PB - SPRINGER/PLENUM PUBLISHERS SN - 00207748 KW - Lattice effect algebra KW - MV-effect algebra KW - Sharp element KW - Sharply dominating effect algebra KW - Atom KW - Atomic UR - http://www.springerlink.com/content/92867r1358519332/ L2 - http://www.springerlink.com/content/92867r1358519332/ N2 - Some open questions on Archimedean atomic MV-effect algebras are answered. Namely we prove that there are Archimedean atomic MV-effect algebras which are not sharply dominating. Equivalently, they don't have a basic decomposition of elements. Moreover, if their set of sharp elements (their center) is a complete lattice then they need not be complete lattices. The existence of infinite orthogonal sums of their elements is discussed. ER -
PASEKA, Jan, Zdenka RIEČANOVÁ, Martin KALINA a Vladimír OLEJČEK. Sharply Dominating MV-Effect Algebras. \textit{International Journal of Theoretical Physics}. NEW YORK: SPRINGER/PLENUM PUBLISHERS, roč.~50, č.~4, s.~1152-1159. ISSN~0020-7748. doi:10.1007/s10773-010-0338-x. 2011.
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