Title: On Soc-2-Absorbing -Ideals
Authors: Khudhayer O. kadem
Volume: 10
Issue: 9
Pages: 1-3
Publication Date: 2026/09/28
Abstract:
In this paper, we aim to discover a new class of ring ideals that we have named Soc-2-Absorbng-ideal (for short S.2.A.I). We have explored many examples, proofs, and aspects that support the aforementioned definition, as well as some cases that do not fit the definition and how it links to certain previous definitions that are comparable to the work. It has been shown that the radical of a certain ideal also satisfies the definition. After that, the rings were given characteristics to see how they impacted the concept under study.