For non-distributive lattice L, it is not yet known classes of L with the property that the join-meet ideal of L is radical. In this paper, we give a partial answer to this problem
Join-irreducible elements in a lattice have an important role. They act like blocks of a lattice. I...
Abstract: The concept of -ideals is introduced in an Almost Distributive lattice(ADL) with respect ...
Lattices of radicals were extensively studied, for example, in the class of associative rings and l...
summary:Lattices in the class $\mathcal{IRN}$ of algebraic, distributive lattices whose compact elem...
summary:Let $\mathcal D$ be the system of all distributive lattices and let $\mathcal D_0$ be the sy...
summary:There are several special kinds of radical classes. For example, a product radical class is ...
We initiate the radical theory of algebras with B-action where B is a fixed Boolean ring. We conside...
It is shown that in a well known characterization of radical classes, closure under unions of chain...
Abstract. The least element 0 of a finite meet semi-distributive lattice is a meet of meet-prime ele...
AbstractIn this paper the Lie algebras in which the lattice formed by the ideals is complemented or ...
Every dimensional distributive lattice has a “unique irreducible decomposition” as a join of join ir...
summary:To every subset $A$ of a complete lattice $L$ we assign subsets $J(A)$, $M(A)$ and define jo...
This thesis is a study of radical ideals in restricted domains of associative rings. The first cha...
Several aspects of the theory of radical classes in associative ring theory are investigated. In Ch...
This paper investigates the concepts of distributive ideal, dually distributive ideal and standard i...
Join-irreducible elements in a lattice have an important role. They act like blocks of a lattice. I...
Abstract: The concept of -ideals is introduced in an Almost Distributive lattice(ADL) with respect ...
Lattices of radicals were extensively studied, for example, in the class of associative rings and l...
summary:Lattices in the class $\mathcal{IRN}$ of algebraic, distributive lattices whose compact elem...
summary:Let $\mathcal D$ be the system of all distributive lattices and let $\mathcal D_0$ be the sy...
summary:There are several special kinds of radical classes. For example, a product radical class is ...
We initiate the radical theory of algebras with B-action where B is a fixed Boolean ring. We conside...
It is shown that in a well known characterization of radical classes, closure under unions of chain...
Abstract. The least element 0 of a finite meet semi-distributive lattice is a meet of meet-prime ele...
AbstractIn this paper the Lie algebras in which the lattice formed by the ideals is complemented or ...
Every dimensional distributive lattice has a “unique irreducible decomposition” as a join of join ir...
summary:To every subset $A$ of a complete lattice $L$ we assign subsets $J(A)$, $M(A)$ and define jo...
This thesis is a study of radical ideals in restricted domains of associative rings. The first cha...
Several aspects of the theory of radical classes in associative ring theory are investigated. In Ch...
This paper investigates the concepts of distributive ideal, dually distributive ideal and standard i...
Join-irreducible elements in a lattice have an important role. They act like blocks of a lattice. I...
Abstract: The concept of -ideals is introduced in an Almost Distributive lattice(ADL) with respect ...
Lattices of radicals were extensively studied, for example, in the class of associative rings and l...