Characterization of generalized Gorenstein rings
Shiro Goto, Ryotaro Isobe, Shinya Kumashiro, and Naoki Taniguchi
TL;DR
This paper characterizes generalized Gorenstein local rings (GGL rings) by examining their canonical ideals and related invariants, expanding understanding of their structure and properties.
Contribution
It provides a new characterization of GGL rings based on canonical ideals, offering insights into their algebraic structure.
Findings
Characterization of GGL rings via canonical ideals
Identification of key invariants related to GGL rings
Enhanced understanding of GGL ring structure
Abstract
The notion of generalized Gorenstein local ring (GGL ring for short) is one of the generalizations of Gorenstein rings. In this article, there is given a characterization of GGL rings in terms of their canonical ideals and related invariants.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Advanced Topics in Algebra