-systems in local Noether lattices.
Partial orders in semigroups and semirings of right quotients.
Partially ordered, primitive regular semigroups.
Perfect elements in Dubreil-Jacotin regular semigroups.
Plus grand groupe image homomorphe et isotone d'un monoïde ordonné : caractérisations des anneaux «clos»
Points de continuité à gauche d'une action de semi-groupe.
Polarity compatible with a closure system
Polars and annihilators in representable -monoids and -algebras
Polars in autometrized algebras
Positive implicative ordered filters of implicative semigroups.
Power series developments in lattice ordered semigroups.
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.
Prime ideals and polars in DR-monoids and BL-algebras
Prime ideals in autometrized algebras
Prime radical theorem on ordered semigroups.
Prime, weakly prime and almost prime elements in multiplication lattice modules
In this paper, we study multiplication lattice modules. We establish a new multiplication over elements of a multiplication lattice module.With this multiplication, we characterize idempotent element, prime element, weakly prime element and almost prime element in multiplication lattice modules.
Products of partially ordered quasigroups
We describe necessary and sufficient conditions for a direct product and a lexicographic product of partially ordered quasigroups to be a positive quasigroup. Analogous questions for Riesz quasigroups are studied.
Pseudo -algebras and -monoids
It is shown that pseudo -algebras are categorically equivalent to certain bounded -monoids. Using this result, we obtain some properties of pseudo -algebras, in particular, we can characterize congruence kernels by means of normal filters. Further, we deal with representable pseudo -algebras and, in conclusion, we prove that they form a variety.
Pseudo-complemented distributive groupoids
Pseudocomplements in sum-ordered partial semirings
We study a particular way of introducing pseudocomplementation in ordered semigroups with zero, and characterise the class of those pseudocomplemented semigroups, termed g-semigroups here, that admit a Glivenko type theorem (the pseudocomplements form a Boolean algebra). Some further results are obtained for g-semirings - those sum-ordered partially additive semirings whose multiplicative part is a g-semigroup. In particular, we introduce the notion of a partial Stone semiring and show that several...