id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-1398	Kalina, M.	Two Remarks to Bifullness of Centers of Archimedean Atomic Lattice Effect Algebras	2011	6	.pdf	application/pdf	4691	301	84	and we are able to extend this state to the whole lattice effect algebra E. In [8] an atomic lattice effect algebra E (in fact, an atomic orthomodular lattice) with atomic center C(E) was constructed, where C(E) is not a bifull sublattice of E. In this paper we show that for atomic lattice effect algebras E (atomic orthomodular lattices) neither completeness (and atomicity) of C(E) nor σ-completeness of E are sufficient conditions for C(E) to be a bifull sublattice of E. Keywords: lattice effect algebra, orthomodular lattice, center, atom, bifullness. There are lattice effect algebras with no state.	cache/ap-1398.pdf	txt/ap-1398.txt