On Rings over Which All Modules Are Direct Sums of Distributive Modules

Abstract

A module is said to be \textsf{distributive} if the lattice of its submodules is distributive. A direct sum of distributive modules is called a \textsf{semidistributive} module. In this paper we consider rings $A$ such that all right $A$-modules are semidistributive.

arXiv admin note: text overlap with arXiv:2212.13786 by other authors