On algebraic closures of compact elements
On algebraic lattices and semisimple algebras
On algebraic operations of a lattice-ordered group
On algebra-lattices
On almost equitable uninorms
Uninorms, as binary operations on the unit interval, have been widely applied in information aggregation. The class of almost equitable uninorms appears when the contradictory information is aggregated. It is proved that among various uninorms of which either underlying t-norm or t-conorm is continuous, only the representable uninorms belong to the class of almost equitable uninorms. As a byproduct, a characterization for the class of representable uninorms is obtained.
On an axiom concerning the theory of “interval orders”.
On an integer sequence related to a product of trigonometric functions, and its combinatorial relevance.
On annihilators in BL-algebras
In the paper, we introduce the notion of annihilators in BL-algebras and investigate some related properties of them. We get that the ideal lattice (I(L), ⊆) is pseudo-complemented, and for any ideal I, its pseudo-complement is the annihilator I⊥ of I. Also, we define the An (L) to be the set of all annihilators of L, then we have that (An(L); ⋂,∧An(L),⊥,0, L) is a Boolean algebra. In addition, we introduce the annihilators of a nonempty subset X of L with respect to an ideal I and study some properties...
On annihilators of BCK-algebras
On archimedean -algebras
On Atomistic Algebraic Lattices with Covering Property
On atomistic lattices.
On atoms in lattices of primitive classes
On atoms in tolerance lattices of distributive lattices
On automorphism groups of boolean algebras
On automorphism groups of cyclically ordered sets.
On automorphism groups of non-associative Boolean rings.
On automorphism groups of planar lattices
The structure of automorphisms of planar lattices is analyzed.
On automorphisms of Boolean algebras embedded in P (ω)/fin
We prove that, under CH, for each Boolean algebra A of cardinality at most the continuum there is an embedding of A into P(ω)/fin such that each automorphism of A can be extended to an automorphism of P(ω)/fin. We also describe a model of ZFC + MA(σ-linked) in which the continuum is arbitrarily large and the above assertion holds true.
On automorphisms of the lattice of quasivarieties of lattice-ordered groups