Fuzzy filter spectrum of a BCK algebra.
Generalized intervals and topology
Generating methods for principal topologies on bounded lattices
In this paper, some generating methods for principal topology are introduced by means of some logical operators such as uninorms and triangular norms and their properties are investigated. Defining a pre-order obtained from the closure operator, the properties of the pre-order are studied.
Imbedding locally convex lattices into compact lattices
Inverse topology in MV-algebras
We introduce the inverse topology on the set of all minimal prime ideals of an MV-algebra and show that the set of all minimal prime ideals of , namely , with the inverse topology is a compact space, Hausdorff, -space and -space. Furthermore, we prove that the spectral topology on is a zero-dimensional Hausdorff topology and show that the spectral topology on is finer than the inverse topology on . Finally, by open sets of the inverse topology, we define and study a congruence relation...
Isometries in ordered groups
Kernels of lattice ordered groups defined by properties of sequences
Left translations of compact semilattices and generalizations
Local convexity in topological lattices
Locally solid topological lattice-ordered groups
Locally solid Riesz spaces have been widely investigated in the past several decades; but locally solid topological lattice-ordered groups seem to be largely unexplored. The paper is an attempt to initiate a relatively systematic study of locally solid topological lattice-ordered groups. We give both Roberts-Namioka-type characterization and Fremlin-type characterization of locally solid topological lattice-ordered groups. In particular, we show that a group topology on a lattice-ordered group is...
Measure and measurable functions of
Metric properties of positively ordered monoids.
Metrization of uniform lattices
On differences of Riesz homomorphisms.
On H. Priestley's dual of the category of bounded distributive lattices
On some topologies on a generalized metric space.
On the dual space of an MS-algebra.
On the maximal subgroup of the sandwich semigroup of generalized circulant Boolean matrices
Let be a positive integer, and the set of all -circulant matrices over the Boolean algebra , . For any fixed -circulant matrix () in , we define an operation “” in as follows: for any in , where is the usual product of Boolean matrices. Then is a semigroup. We denote this semigroup by and call it the sandwich semigroup of generalized circulant...
Open images of orderable spaces
Orderability of topological spaces by continuous preferences.