Homogeneous lattices and lattice-ordered groups
Homomorphisms of direct products of algebras
Homomorphisms of implicative semigroups.
Hoops and their implicational reducts (abstract)
How can representation theories of inverse semigroups and lattices be united?
Hyper BCI-algebras
We introduce the concept of a hyper BCI-algebra which is a generalization of a BCI-algebra, and investigate some related properties. Moreover we introduce a hyper BCI-ideal, weak hyper BCI-ideal, strong hyper BCI-ideal and reflexive hyper BCI-ideal in hyper BCI-algebras, and give some relations among these hyper BCI-ideals. Finally we discuss the relations between hyper BCI-algebras and hyper groups, and between hyper BCI-algebras and hyper -groups.
Hyperarchimedische Teilbarkeitshalbgruppen
Hypergroupes et groupes ordonnés
Ideal theory in commutative semigroups.
Ideale in Rechtsverbandshalbgruppen.
Ideals and Green's relations in ordered semigroups.
Ideals, -rings and -algebras
Ideals of noncommutative -monoids
In this paper, we introduce the concept of an ideal of a noncommutative dually residuated lattice ordered monoid and we show that congruence relations and certain ideals are in a one-to-one correspondence.
Idempotent semigroups and tropical algebraic sets
The tropical semifield, i.e., the real numbers enhanced by the operations of addition and maximum, serves as a base of tropical mathematics. Addition is an abelian group operation, whereas the maximum defines an idempotent semigroup structure. We address the question of the geometry of idempotent semigroups, in particular, tropical algebraic sets carrying the structure of a commutative idempotent semigroup. We show that commutative idempotent semigroups are contractible, that systems of tropical...
Idempotent versions of Haar’s Lemma: links between comparison of discrete event systems with different state spaces and control
Haar's Lemma (1918) deals with the algebraic characterization of the inclusion of polyhedral sets. This Lemma has been involved many times in automatic control of linear dynamical systems via positive invariance of polyhedrons. More recently, it has been used to characterize stochastic comparison w.r.t. linear/integral ordering of Markov (reward) chains. In this paper we develop a state space oriented approach to the control of Discrete Event Systems (DES) based on the remark that most of control...
Idempotent-determined congruences on inverse semigroups.
Idempotents in completely PO semigroups.
IF-filters of pseudo-BL-algebras
Characterizations of IF-filters of a pseudo-BL-algebra are established. Some related properties are investigated. The notation of prime IF- filters and a characterization of a pseudo-BL-chain are given. Homomorphisms of IF-filters and direct product of IF-filters are studied.
Images homomorphes, ordonnées en treillis des demi-groupes ordonnés
Imbedding locally convex lattices into compact lattices