Communications in Algebra · 2002 · 49 citations · 3 references
Natural SciencesMathematicsAlgebraAbstract AlgebraCommutative AlgebraLattice StructuresAlgebraic LatticesArtinian RingsIdeal LatticesModule LatticesRing Lattices
Abstract In this paper we study the lattice of all preradicals on a ring R. We describe this lattice, we prove that it is an atomic and coatomic lattice and we describe the atoms and coatoms. We also give characterizations of simple Artinian, semisimple Artinian, and V-rings in terms of preradicals.
3
Linear topologies on a ring: An overview
Acta Applicandae Mathematicae · 1992 · 30 citations
The lattice of natural classes of modules
Yiqiang Zhou · Communications in Algebra · 1996 · 17 citations