On Hall planar ternary rings with ordered carrier sets
On isotone and homomorphic maps of ordered partial groupoids
On minimal spectrum of multiplication lattice modules
We study the minimal prime elements of multiplication lattice module over a -lattice . Moreover, we topologize the spectrum of minimal prime elements of and study several properties of it. The compactness of is characterized in several ways. Also, we investigate the interplay between the topological properties of and algebraic properties of .
Order Convergence and Topological Completion of Commutative Lattice-Groups.
Order-enriched solid functors
Order-enriched solid functors, as presented in this paper in two versions, enjoy many of the strong properties of their ordinary counterparts, including the transfer of the existence of weighted (co)limits from their codomains to their domains. The ordinary version of the notion first appeared in Trnková's work on automata theory of the 1970s and was subsequently studied by others under various names, before being put into a general enriched context by C. Anghel. Our focus in this paper is on differentiating...
Ordres maximaux
Polars in autometrized algebras
Primary elements in Prüfer lattices
In this paper we study primary elements in Prüfer lattices and characterize -lattices in terms of Prüfer lattices. Next we study weak ZPI-lattices and characterize almost principal element lattices and principal element lattices in terms of ZPI-lattices.
Prüfer -groups
Pure filters and stable topology on BL-algebras
In this paper we introduce stable topology and -topology on the set of all prime filters of a BL-algebra and show that the set of all prime filters of , namely Spec() with the stable topology is a compact space but not . Then by means of stable topology, we define and study pure filters of a BL-algebra and obtain a one to one correspondence between pure filters of and closed subsets of Max(), the set of all maximal filters of , as a subspace of Spec(). We also show that for any filter...
Radical ideals and coherent frames
It follows from Stone Duality that Hochster's results on the relation between spectral spaces and prime spectra of rings translate into analogous, formally stronger results concerning coherent frames and frames of radical ideals of rings. Here, we show that the latter can actually be obtained without Stone Duality, proving them in Zermelo-Fraenkel set theory and thereby sharpening the original results of Hochster.
Remarques sur la théorie des multitreillis VI (Contribution à la théorie des structures algébriques ordonnées)
Semilattices with sectional mappings
We consider join-semilattices with 1 where for every element p a mapping on the interval [p,1] is defined; these mappings are called sectional mappings and such structures are called semilattices with sectional mappings. We assign to every semilattice with sectional mappings a binary operation which enables us to classify the cases where the sectional mappings are involutions and / or antitone mappings. The paper generalizes results of [3] and [4], and there are also some connections to [1].
Simplicial crossed modules and mapping cones.
Subdirectly Irreducibles in some Varieties of Algebras having the Semilattice Structure
Sur les groupoïdes quasi-résidués
Ternary spaces, media, and Chebyshev sets
Ternary structures and partial semigroups
The epis of the category of ordered algebras and -continuous homomorphisms
Treillis d'idéaux et structure d'anneaux