Weakly atomic lattices with Stonean congruence lattice
Weakly regular lattices
When a line graph associated to annihilating-ideal graph of a lattice is planar or projective
Let be a finite lattice with a least element 0. is an annihilating-ideal graph of in which the vertex set is the set of all nontrivial ideals of , and two distinct vertices and are adjacent if and only if . We completely characterize all finite lattices whose line graph associated to an annihilating-ideal graph, denoted by , is a planar or projective graph.
-ideals in pseudo-complemented distributive lattices
The concept of -ideals is introduced in a pseudo-complemented distributive lattice and some properties of these ideals are studied. Stone lattices are characterized in terms of -ideals. A set of equivalent conditions is obtained to characterize a Boolean algebra in terms of -ideals. Finally, some properties of -ideals are studied with respect to homomorphisms and filter congruences.
-lattices
In this paper, we generalize the notion of supremum and infimum in a poset.
-ideals in the lattice of semi -ideals
-isomorphic algebraic structures
For an algebraic structure or type and a set of open formulas of the first order language we introduce the concept of -closed subsets of . The set of all -closed subsets forms a complete lattice. Algebraic structures , of type are called -isomorphic if . Examples of such -closed subsets are e.g. subalgebras of an algebra, ideals of a ring, ideals of a lattice, convex subsets of an ordered or quasiordered set etc. We study -isomorphic algebraic structures in dependence on the...
Наследственная неразрешимость одного класса структурно упорядоченных абелевых групп
Об одном дискриминаторном многообразии алгебр Гейтинга с инволюцией.
Решетки блоков регулярных алгебр и разрешимых групп.
Строение решеток конгруэнций конечных полурешеток