IMCS/Publications/BASM/Issues/BASM n.2 (30), 1999/

On rings with a distributive lattice of pretorsions. (Russian)

Authors: Bunu I. D.


The question about distributivity of pretorsion lattice in modules is studied. It is proved that if a ring is left distributive, satisfies the maximality condition for left and right quotients and any its left ideal is the intersection of a finite number of irreducible left ideals, then the pretorsion lattice is distributive.

str. Banulescu Bodoni, 61
MD-2005 Chisinau, Moldova