“School of Mathematics”

Back to Papers Home
Back to Papers of School of Mathematics

Paper   IPM / M / 16418
School of Mathematics
  Title:   A Study of quasi-Gorenstein rings II: Deformation of quasi-Gorenstein property
  Author(s):  Ehsan Tavanfar (Joint with K. Shimomoto and N. Taniguchi)
  Status:   Published
  Journal: J. Algebra
  Vol.:  562
  Year:  2020
  Pages:   368-389
  Supported by:  IPM
  Abstract:
In the present article, we investigate the following deformation problem. Let (R,\fm) be a local (graded local) Noetherian ring with a (homogeneous) regular element y ∈ \fm and assume that R/yR is quasi-Gorenstein. Then is R quasi-Gorenstein? We give positive answers to this problem under various assumptions, while we present a counter-example in general. We emphasize that absence of the Cohen-Macaulay condition requires delicate and subtle studies.


Download TeX format
back to top
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
scroll left or right