Abstract:In this paper, we view the collection of ideals of a commutative principal ideal ring from two perspectives: one as an ordered semigroup I(R) and the other as a category I_R . It is shown that I(R) is a regular ordered semigroup whereas I_R is a category with subobjects. Further we establish the correspondence between these structure
| Comments: | 13 pages 0 figures |
| Subjects: | Rings and Algebras (math.RA) |
| MSC classes: | 13E15 |
| ACM classes: | F.2.2 |
| Cite as: | arXiv:2605.25184 [math.RA] |
| (or arXiv:2605.25184v1 [math.RA] for this version) | |
| https://doi.org/10.48550/arXiv.2605.25184 arXiv-issued DOI via DataCite (pending registration) |
From: Bindu Romeo [view email]
[v1]
Sun, 24 May 2026 17:27:37 UTC (14 KB)
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