TY - JOUR
A2 - Liu, C.-s.
A2 - Li, Z.-Y.
AU - Meng, Biao Long
AU - Xin, Xiao Long
PY - 2013
DA - 2013/11/10
TI - A Note of Filters in Effect Algebras
SP - 570496
VL - 2013
AB - We investigate relations of the two classes offilters in effect algebras (resp., MV-algebras). We prove that a lattice filter in a lattice ordered effect algebra(resp., MV-algebra) E does not need to be an effect algebra filter(resp., MV-filter). In general, in MV-algebras, every MV-filter isalso a lattice filter. Every lattice filter in a lattice orderedeffect algebra E is an effect algebra filter if and only if E is anorthomodular lattice. Every lattice filter in an MV-algebra E isan MV-filter if and only if E is a Boolean algebra.
SN - xxxx-xxxx
UR - https://doi.org/10.1155/2013/570496
DO - 10.1155/2013/570496
JF - Chinese Journal of Mathematics
PB - Hindawi Publishing Corporation
KW -
ER -