Generalized square-difference factor absorbing submodules of modules over commutative rings
Commutative Algebra
2026-04-08 v1
Abstract
In this paper, we introduce and study the class of generalized square-difference factor absorbing (gsdf-absorbing) submodules of modules over commutative rings. We provide various characterizations and properties of gsdf-absorbing submodules and examine the behavior of this class of submodules in some module extensions, including localization, homomorphic images, direct products, idealization, and amalgamation. We also characterize all gsdf-absorbing submodules of the Z-module Z. Several examples are provided to illustrate the results and to distinguish this class from related notions.
Keywords
Cite
@article{arxiv.2604.04954,
title = {Generalized square-difference factor absorbing submodules of modules over commutative rings},
author = {Violeta Leoreanu-Fotea and Ece Yetkin Celikel and Tarik Arabaci and Unsal Tekir},
journal= {arXiv preprint arXiv:2604.04954},
year = {2026}
}
Comments
12 pages