Almost principal element lattices.
Almost -lattices
In this paper we establish some conditions for an almost -domain to be a -domain. Next -lattices satisfying the union condition on primes are characterized. Using these results, some new characterizations are given for -rings.
Completely meet-irreducible tolerances in distributive Noetherian lattices
Endomorphism semigroups of Brouwerian semilattices.
Ideal theory in commutative semigroups.
Laskerian lattices
In this paper we investigate prime divisors, -primes and -primes in -lattices. Using them some new characterizations are given for compactly packed lattices. Next, we study Noetherian lattices and Laskerian lattices and characterize Laskerian lattices in terms of compactly packed lattices.
Lattice modules having small cofinite irreducibles.
Noether lattices: Some constructions and decompositions
-systems in local Noether lattices.
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, 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.
Principal element lattices
Strong compact elements in multiplicative lattices
-elements in multiplicative lattices
О расложении в пересечение простых элементов в мультипликативных полурешетках
Одномерные элементы и их применение в представлении решеточно упорядоченной алгебры