2025/07/12 by Maram Almahariq, Almahariq, Maram · 1 citation
Mathematics · #08A05 #54E05 #55P57 #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2507.09357
openalex publication_date 2025/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For the approx.ideal W of the approx.commutative ring R with unity in a descriptive relator space, after introducing the approx. prime ideal in [], this work demonstrates some special properties of the approx.ideals-specifically, the approx.primary ideal, the approx.semi-primary ideal and the approx.1-absorbing primary ideal. A set of theorems related to these concepts is presented. Among them is this important result: If W is an approx.1-absorbing primary ideal, then r(W) is an approx.prime ideal of the approx. ring R. Furthermore, the relationship between these classes is studied: If W is an approx.prime ideal of R, then W is also an approx.primary ideal. Moreover, it turns out that this is an approx.1-absorbing primary ideal.