Principally Goldie*-Lifting Modules
Ayse Tugba Guroglu, Elif Tugce Meric
TL;DR
This paper introduces and studies principally Goldie*-lifting modules, a generalization of lifting modules, exploring their properties and structural characteristics.
Contribution
It defines principally Goldie*-lifting modules and investigates their properties, expanding the theory of module classes beyond traditional lifting modules.
Findings
Characterization of principally Goldie*-lifting modules
Relationship with other module classes
Structural properties and examples
Abstract
A module M is called principally Goldie*-lifting if for every proper cyclic submodule X of M, there is a direct summand D of M such that . In this paper, we focus on principally Goldie*-lifting modules as generalizations of lifting modules. Various properties of these modules are given.
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Taxonomy
TopicsRings, Modules, and Algebras · Algebraic structures and combinatorial models · Commutative Algebra and Its Applications