-algebras of the monad -Fuzz
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).
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 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 algebraic theory of compact Lawson semilattices Applications of Galois connections to compact semilattices [Book]
The associative operad and the weak order on the symmetric groups.
The Auslander-Reiten quiver for posets of finite growth
The Bruhat rank of a binary symmetric staircase pattern
In this work we show that the Bruhat rank of a symmetric (0,1)-matrix of order n with a staircase pattern, total support, and containing In, is at most 2. Several other related questions are also discussed. Some illustrative examples are presented.
The Cantor Extension of a Lexicographic Product of -Groups
The Cartesian product of sets and the Hessenberg natural product of ordinals
The categories of presheaves containing any category of algebras [Book]
The cd-index of Bruhat intervals.
The characterization of -compact elements in some lattices
The Charney-Davis quantity for certain graded posets.
The epis of
The epis of the category of ordered algebras and -continuous homomorphisms
The functional equation f(xy) = ff(x) xy ff(y) in a partially ordered monoid.
The fundamental group of balanced simplicial complexes and posets.
The Galois correspondence between subvariety lattices and monoids of hpersubstitutions
Denecke and Reichel have described a method of studying the lattice of all varieties of a given type by using monoids of hypersubstitutions. In this paper we develop a Galois correspondence between monoids of hypersubstitutions of a given type and lattices of subvarieties of a given variety of that type. We then apply the results obtained to the lattice of varieties of bands (idempotent semigroups), and study the complete sublattices of this lattice obtained through the Galois correspondence.