Cofinitely delta_ss-supplemented modules

Emine Önal Kır

doi:10.5269/bspm.77011

Emine Önal Kır Kırşehir Ahi Evran University

Abstract

This paper explores the class of cofinitely $\delta_{ss}$-supplemented modules introduced as a natural extension of $\delta_{ss}$-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 $\delta_{ss}$-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 $\delta_{ss}$-supplemented precisely when each maximal submodule $A$ of $P$ such that $P/A$ is singular possesses ample $\delta_{ss}$-supplements within $P$. Left $\delta_{ss}$-perfect rings have been characterized via cofinitely $\delta_{ss}$-supplemented modules and this characterization has been presented as equivalent conditions.

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