1 citations · 1 across the 4 of their papers we have counts for
8 papers
The canonical trace of determinantal rings
Antonino Ficarra, Jürgen Herzog, Dumitru I. Stamate +1
We compute the canonical trace of generic determinantal rings and provide a sufficient condition for the trace to specialize. As an application we determine the canonical trace $\m…
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.
Graded Bourbaki ideals of graded modules
Jürgen Herzog, Shinya Kumashiro, Dumitru I. Stamate
In this paper we study graded Bourbaki ideals. It is a well-known fact that for torsionfree modules over Noetherian normal domains, Bourbaki sequences exist. We give criteria in te…
Ulrich elements in normal simplicial affine semigroups
Jürgen Herzog, Raheleh Jafari, Dumitru I. Stamate
Let be a normal affine semigroup, its semigroup ring over the field and its canonical module. The Ulrich elements for are those …