Comparing generalized Gorenstein properties in semi-standard graded rings

التفاصيل البيبلوغرافية
العنوان: Comparing generalized Gorenstein properties in semi-standard graded rings
المؤلفون: Miyashita, Sora
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Commutative Algebra, Mathematics - Combinatorics, 13H10, 13M05
الوصف: 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.
Comment: 16 pages, comments are appreciated!
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2309.09221
رقم الأكسشن: edsarx.2309.09221
قاعدة البيانات: arXiv