On isometries in partially ordered groups
On isometries of lattices
On isometries of non-Abelian lattice ordered groups
On isotone and homomorphic maps of ordered partial groupoids
On iterated limits of subsets of a convergence -group
In this paper we deal with the relation for a subset of , where is an -group and is a sequential convergence on .
On -radical classes of lattice ordered groups
On lattice ordered groups having a unique addition
On lattice ordered periodic semigroups
On lattice-ordered monoids
In the paper lattice-ordered monoids and specially normal lattice-ordered monoids which are a generalization of dually residuated lattice-ordered semigroups are investigated. Normal lattice-ordered monoids are metricless normal lattice-ordered autometrized algebras. It is proved that in any lattice-ordered monoid A, a ∈ A and na ≥ 0 for some positive integer n imply a ≥ 0. A necessary and sufficient condition is found for a lattice-ordered monoid A, such that the set I of all invertible elements...
On lattices and algebras of simple functions
On left regular and left duo poe-semigroups.
On left (resp. right) duo regular poesemigroups.
On lexico extensions of lattice ordered groups
On limits in complete semirings.
On linearly ordered subgroups of a lattice ordered group
On matrices having an invariant cone
On maximal ideals of pseudo-BCK-algebras
We investigate maximal ideals of pseudo-BCK-algebras and give some characterizations of them.
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 .
On monadic quantale algebras: basic properties and representation theorems
Motivated by the concept of quantifier (in the sense of P. Halmos) on different algebraic structures (Boolean algebras, Heyting algebras, MV-algebras, orthomodular lattices, bounded distributive lattices) and the resulting notion of monadic algebra, the paper introduces the concept of a monadic quantale algebra, considers its properties and provides several representation theorems for the new structures.
On monotone permutations of -cyclically ordered sets
For an -cyclically ordered set with the -cyclic order let be the set of all monotone permutations on . We define a ternary relation on the set . Further, we define in a natural way a group operation (denoted by ) on . We prove that if the -cyclic order is complete and , then is a half cyclically ordered group.