English

Comparing generalized Gorenstein properties in semi-standard graded rings

Commutative Algebra 2023-10-06 v2 Combinatorics

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.

Keywords

Cite

@article{arxiv.2309.09221,
  title  = {Comparing generalized Gorenstein properties in semi-standard graded rings},
  author = {Sora Miyashita},
  journal= {arXiv preprint arXiv:2309.09221},
  year   = {2023}
}

Comments

16 pages, comments are appreciated!

R2 v1 2026-06-28T12:23:56.180Z