期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2023; ()
A vector topology on a vector space over a topological field is a (not necessarily Hausdorff) topology by which the addition and the scalar multiplica......
期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2023; 40 (2)
A big Ramsey spectrum of a countable chain (i.e. strict linear order) C is a sequence of big Ramsey degrees of finite chains computed in C. In this pa......
期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2023; 40 (1)
An extension of a closure system on a finite set S is a closure system on the same set S containing the first one as a sublattice. A closure system ca......
期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2023; 40 (2)
Kuznetsov's Theorem about finitely-generated Heyting algebras has been extended to Johansson algebras in the following way: if A = (A; boolean AND, bo......
期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2023; ()
The Dushnik-Miller dimension of a poset P is the least d for which P can be embedded into a product of d chains. Lewis and Souza isibility order on th......
期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2023; ()
We find a simple product formula for the characteristic polynomial of the permutations with a fixed descent set under the weak order. As a corollary w......
期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2023; ()
The Dimension Theory in the class of frames was the base of many researches. Especially, the covering dimension, the quasi covering dimension, the sma......
期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2023; ()
Let A(n, k) represent the collection of all n x n zero-and-one matrices, with the sum of all rows and columns equalling k. This set can be ordered by ......
期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2023; ()
A generalized implication on a distributive lattice A is a function between A x A to ideals of A satisfying similar conditions to strict implication o......
期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2023; 40 (1)
We study the minor relation for algebra homomorphims in finitely generated quasivarieties that admit a logarithmic natural duality. We characterize th......
期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2023; 40 (2)
Let Q(n) be the poset that consists of all subsets of a fixed n-element set, ordered by set inclusion. The poset cube Ramsey number R(Q(n), Q(n)) is d......
期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2023; 40 (3)
We introduce and characterize various gluing constructions for residuated lattices that intersect on a common subreduct, and which are subalgebras, or......
期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2023; ()
Sectional pseudocomplementation (sp-complementation) on a poset is a partial operation * which associates with every pair (x, y) of elements, where x ......
期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2023; ()
An N-free poset is a poset whose comparability graph does not embed an induced path with four vertices. We use the well-quasi-order property of the cl......
期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2023; ()
A poset is a containment of paths in a tree (CPT) if it admits a representation by containment where each element of the poset is represented by a pat......