Square-difference factor absorbing ideals of a commutative ring
Let [Formula: see text] be a commutative ring with [Formula: see text]. A proper ideal [Formula: see text] of [Formula: see text] is a square-difference factor absorbing ideal (sdf-absorbing ideal) of [Formula: see text] if whenever [Formula: see text] for [Formula: see text], then [Formula: see text] or [Formula: see text]. In this paper, we introduce and investigate sdf-absorbing ideals.
Authors
- David F. Anderson (ORCID: https://orcid.org/0000-0002-2344-614X)
- Ayman Badawı (ORCID: https://orcid.org/0000-0003-1257-5955)
- Jim Coykendall
Institutions
- American University of Sharjah (AE)
- University of Tennessee at Knoxville (US)
- Clemson University (US)
Publication Details
- Journal
- Journal of Algebra and Its Applications
- Published
- 2025-03-11
- DOI
- https://doi.org/10.1142/s0219498826501987
- Citations
- 5
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 26.89