New Results About Some Chain Conditions in Serre Conjecture Rings
Let φ:T→T/I be the natural homomorphism, where I is a nonzero ideal of an integral domain T. We define R:=φ−1(D), where D is a subring of T/I. This paper aims to investigate the conditions under which the Serre conjecture ring R⟨m⟩ is a strong S-domain. Several examples are constructed to demonstrate both the scope and limitations of the results.
Authors
- Bana Al Subaiei (ORCID: https://orcid.org/0000-0001-6279-4959)
- Noômen Jarboui (ORCID: https://orcid.org/0000-0001-7121-5154)
Institutions
- University of Sfax (TN)
- King Faisal University (SA)
- Sultan Qaboos University (OM)
Publication Details
- Journal
- Axioms
- Published
- 2024-11-10
- DOI
- https://doi.org/10.3390/axioms13110778
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00