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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 and Josef NIEDERLE. More about sharp and meager elements in Archimedean atomic lattice effect algebras. \textit{Soft computing}. Springer-Verlag GmbH, 2012, vol.~16, No~1, p.~109-119. ISSN~1432-7643. Available from: https://dx.doi.org/10.1007/s00500-011-0738-8.
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