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@article{974568, author = {Paseka, Jan and Niederle, Josef}, article_number = {1}, doi = {http://dx.doi.org/10.1007/s00500-011-0738-8}, keywords = {Lattice effect algebra; Center; Atom; MacNeille completion; Sharp element; Meager element}, language = {eng}, issn = {1432-7643}, journal = {Soft computing}, title = {More about sharp and meager elements in Archimedean atomic lattice effect algebras}, url = {http://www.springerlink.com/content/1271803j0uj5646x/}, volume = {16}, year = {2012} }
TY - JOUR ID - 974568 AU - Paseka, Jan - Niederle, Josef PY - 2012 TI - More about sharp and meager elements in Archimedean atomic lattice effect algebras JF - Soft computing VL - 16 IS - 1 SP - 109-119 EP - 109-119 PB - Springer-Verlag GmbH SN - 14327643 KW - Lattice effect algebra KW - Center KW - Atom KW - MacNeille completion KW - Sharp element KW - Meager element UR - http://www.springerlink.com/content/1271803j0uj5646x/ L2 - http://www.springerlink.com/content/1271803j0uj5646x/ N2 - 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. ER -
PASEKA, Jan a Josef NIEDERLE. More about sharp and meager elements in Archimedean atomic lattice effect algebras. \textit{Soft computing}. Springer-Verlag GmbH, 2012, roč.~16, č.~1, s.~109-119. ISSN~1432-7643. Dostupné z: https://dx.doi.org/10.1007/s00500-011-0738-8.
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