-frames and almost compact frames
-separation axioms on frames
-algebras of the monad -Fuzz
-fuzzy ideals in BCI-algebras.
-fuzzy multiply positive implicative BCC-ideals of BCC-algebras.
is a quasi-variety
Tail and free poset algebras.
We characterize free poset algebras F(P) over partially ordered sets and show that they can be represented by upper semi-lattice algebras. Hence, the uniqueness, in decomposition into normal form, using symmetric difference, of non-zero elements of F(P) is established. Moreover, a characterization of upper semi-lattice algebras that are isomorphic to free poset algebras is given in terms of a selected set of generators of B(T).
T-categories and some representation theorems
Tensor products of semilattices and distributive lattices.
Teorema de Ramsey aplicado a álgebras de Boole.
Some properties of Boolean algebras are characterized through the topological properties of a certain space of countable sequences of ordinals. For this, it is necessary to prove the Ramsey theorems for an arbitrary infinite cardinal. Also, we define continuous mappings on these spaces from vector measures on the algebra.
Ternary spaces, media, and Chebyshev sets
Ternary structures and partial semigroups
The 0-distributivity in the class of subalgebra lattices of Heyting algebras and closure algebras
The action of the symmetric group on a generalized partition semilattice.
The active bijection between regions and simplices in supersolvable arrangements of hyperplanes.
The algebra of first-order fuzzy logic
The algebra of mode homomorphisms
Modes are idempotent and entropic algebras. While the mode structure of sets of submodes has received considerable attention in the past, this paper is devoted to the study of mode structure on sets of mode homomorphisms. Connections between the two constructions are established. A detailed analysis is given for the algebra of homomorphisms from submodes of one mode to submodes of another. In particular, it is shown that such algebras can be decomposed as Płonka sums of more elementary homomorphism...
The algebra of pseudotopologies
The algebraic theory of compact Lawson semilattices Applications of Galois connections to compact semilattices [Book]
The alternation hierarchy for the theory of -lattices.