On large small Quasi-Dedekind modules
Abstract
In this article we consider R is any ring with identity and W is a unitary left R-module. we will study and present here the concept of large small Quasi-Dedekind module as a generalization on small Quasi Dedekind module. Where a module W is said to be Large small Quasi-Dedekind module if for all non-zero homomorphism 𝛹: W ⟶ W, then KerW𝛹 ≪𝐿 W. And an R-submodule X of W is said to be large small of W denoted by (X ≪𝐿 W) if for W≤W such that X+W=W then W is essential in W.
Fields of Study & Subjects
Rings
Modules
and Algebras
Algebraic structures and combinatorial models
Advanced Topics in Algebra
Publication details
- Journal / source
- AIP conference proceedings
- Volume
- 3393
- Pages
- 070016–070016
- Publication date
- 1 January 2026
- Language
- EN