We classify modules and rings with some specific properties of their intersection graphs. In
particular, we describe rings with infinite intersection graphs containing maximal left ideals …

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Pseudocomplemented semilattices are studied here from an algebraic point of view,
stressing the pivotal role played by the pseudocomplements and the relationship between …

In the present paper we generalize a few algebraic concepts to graphs. Applying this graph
language we solve some problems on subalgebra lattices of unary partial algebras. In this …

The aim of the present paper is to translate some algebraic concepts to hypergraphs. Thus
we obtain a new language, very useful in the investigation of subalgebra lattices of partial …

A relation between Goldie dimensions of a modular lattice L and its sublattice LG of fixed
points under a finite group G of automorphisms of L is obtained. The method used also gives …

The aim of this paper, consisting of two parts, is to investigate decompositions of elements in
upper continuous modular lattices as intersections of (completely) irreducible elements …

We describe modular lattices with 0 for which a counterpart of the property that minimal
generating subsets of linear spaces are their bases is satisfied and those for which …

Based on the concept of a lattice preradical recently introduced in [T. Albu and M. Iosif,
Lattice preradicals with applications to Grothendieck categories and torsion theories, J …

Two elementsxandyof a partially ordered setPare said to bedisjointif there is noz∈ Psuch
thatz≤ xandz≤ y. Denote by δ (P) the supremum of the cardinals κ such thatPcontains a …