Work

New Results About Some Chain Conditions in Serre Conjecture Rings

Year: 2024

Type: article

Abstract: 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.

Source: Axioms

DOI: 10.3390/axioms13110778

Authors: Bana Al Subaiei, Noômen Jarboui

Institutions: King Faisal University, University of Sfax, Faculty of Sciences of Sfax, Sultan Qaboos University

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

Funder: Ministry of Education – Kingdom of Saudi Arabi