Cofinitely δss-Supplemented Modules

Abstract

This paper explores the class of cofinitely δss-supplemented modules introduced as a natural extension of δss-supplemented modules. The primary aim is to investigate structural and closure properties of this broader class. It has been verified that the collection of cofinitely δss-supplemented modules retains the same property under both arbitrary sums and the construction of factor modules. Furthermore, a module P is characterized as amply cofinitely δss-supplemented precisely when each maximal submodule A of P such that P/A is singular possesses ample δss-supplements within P. Left δss-perfect rings have been characterized via cofinitely δss-supplemented modules and this characterization has been presented as equivalent conditions.