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Mathematics > Commutative Algebra

Title: Comparing generalized Gorenstein properties in semi-standard graded rings

Authors: Sora Miyashita
(Submitted on 17 Sep 2023 (v1), last revised 5 Oct 2023 (this version, v2))
Abstract: Semi-standard graded rings are a generalized notion of standard graded rings. In this paper, we compare generalized notions of the Gorenstein property in semi-standard graded rings. We discuss the commonalities between standard graded rings and semi-standard graded rings, as well as elucidate distinctive phenomena present in semi-standard graded rings that are absent in standard graded rings.
Comments: 16 pages, comments are appreciated!
Subjects: Commutative Algebra (math.AC); Combinatorics (math.CO)
MSC classes: 13H10, 13M05
Cite as: arXiv:2309.09221 [math.AC]
  (or arXiv:2309.09221v2 [math.AC] for this version)

Submission history

From: Sora Miyashita [view email]
[v1] Sun, 17 Sep 2023 09:20:03 GMT (20kb)
[v2] Thu, 5 Oct 2023 11:44:43 GMT (20kb)
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