It is well known that many logical algebras can be regarded as L-algebras.In this paper,we discusses some special L-algebras and give the relation between L-ideals and lattice filters.Moreover,we characterize a class of lattice L-algebras that make the L-ideal sets equal to lattice filter sets,and where an equivalent characterization between L-algebras and implicative lattices is also giv-en.Furthermore,we give the equivalent characterizations of ideals and L-ideals of lattice-ordered effect algebras and as well as its con-gruences and L-congruences.
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