63 citations · 172 across the 17 of their papers we have counts for
4 papers · 1 filter
Stable set rings which are Gorenstein on the punctured spectrum
Takayuki Hibi, Dumitru I. Stamate
The non-Gorenstein locus of stable set rings of finite simple perfect graphs is studied. We describe combinatorially those perfect graphs whose stable set rings are Gorenstein on t…
The tiny trace ideals of the canonical modules in Cohen-Macaulay rings of dimension one
Jürgen Herzog, Shinya Kumashiro, Dumitru I. Stamate
We study one-dimensional Cohen-Macaulay rings whose trace ideal of the canonical module is as small as possible. In this paper we call such rings far-flung Gorenstein rings. We inv…
Nearly Gorenstein rings arising from finite graphs
Takayuki Hibi, Dumitru I. Stamate
The classification of complete multipartite graphs whose edge rings are nearly Gorenstein as well as that of finite perfect graphs whose stable set rings are nearly Gorenstein is a…
Gröbner-nice pairs of ideals
Mircea Cimpoeaş, Dumitru I. Stamate
We introduce the concept of a Gröbner nice pair of ideals in a polynomial ring and we present some applications.