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arXiv · 2309.09221

Comparing generalized Gorenstein properties in semi-standard graded rings

Sora Miyashita
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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.

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Sora Miyashita. 2023-09-17. Comparing generalized Gorenstein properties in semi-standard graded rings. https://arxiv.org/abs/2309.09221

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