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Keywords = Serre conjecture ring

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15 pages, 349 KiB  
Article
New Results About Some Chain Conditions in Serre Conjecture Rings
by Bana Al Subaiei and Noômen Jarboui
Axioms 2024, 13(11), 778; https://doi.org/10.3390/axioms13110778 - 10 Nov 2024
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Abstract
Let φ:TT/I be the natural homomorphism, where I is a nonzero ideal of an integral domain T. We define R:=φ1(D), where D is a subring of [...] Read more.
Let φ:TT/I be the natural homomorphism, where I is a nonzero ideal of an integral domain T. We define R:=φ1(D), where D is a subring of T/I. This paper aims to investigate the conditions under which the Serre conjecture ring Rm is a strong S-domain. Several examples are constructed to demonstrate both the scope and limitations of the results. Full article
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