Zobrazeno 1 - 10
of 889
pro vyhledávání: '"Dumitru, I."'
Let $\Delta$ be a 1-dimensional simplicial complex. Then $\Delta$ may be identified with a finite simple graph $G$. In this article, we investigate the toric ring $R_G$ of $G$. All graphs $G$ such that $R_G$ is a normal domain are classified. For suc
Externí odkaz:
http://arxiv.org/abs/2306.05020
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 $\mbox{tr}(\omega_R)$ of a Cohen-Macaulay ring $R$ of codimension two, wh
Externí odkaz:
http://arxiv.org/abs/2212.00393
Autor:
Hibi, Takayuki, Stamate, Dumitru I.
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 the punctured spectrum. In addition, we show that, in general, for Cohe
Externí odkaz:
http://arxiv.org/abs/2108.09912
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 investigate far-flung Gorenstein rings in relation with the endomorphism
Externí odkaz:
http://arxiv.org/abs/2106.09404
Autor:
Hibi, Takayuki, Stamate, Dumitru I.
Publikováno v:
Electronic Journal of Combinatorics 28 (3) (2021), P3.28. 11 pages
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 achieved.
Comment: v3: fixed one misprint in the proof of Lemma 2.
Comment: v3: fixed one misprint in the proof of Lemma 2.
Externí odkaz:
http://arxiv.org/abs/2103.17042
Autor:
Cimpoeaş, Mircea, Stamate, Dumitru I.
Publikováno v:
In: Combinatorial Structures in Algebra and Geometry (D.I. Stamate, T. Szemberg Eds.), Springer Proceedings in Mathematics & Statistics, vol. 331 (2020), 15-29, Springer, Cham
We introduce the concept of a Gr\"obner nice pair of ideals in a polynomial ring and we present some applications.
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/2101.08710
Publikováno v:
Semigroup Forum 103 (2021), 550-566
For a numerical semigroup ring $K[H]$ we study the trace of its canonical ideal. The colength of this ideal is called the residue of $H$. This invariant measures how far is $H$ from being symmetric, i.e. $K[H]$ from being a Gorenstein ring. We remark
Externí odkaz:
http://arxiv.org/abs/2008.01428
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 terms of certain attached matrices for a homomorphism of modules to indu
Externí odkaz:
http://arxiv.org/abs/2002.09596
Publikováno v:
Pacific J. Math. 309 (2020) 353-380
Let $H\subseteq \mathbb{N}^d$ be a normal affine semigroup, $R=K[H]$ its semigroup ring over the field $K$ and $\omega_R$ its canonical module. The Ulrich elements for $H$ are those $h$ in $H$ such that for the multiplication map by $\mathbf{x}^h$ fr
Externí odkaz:
http://arxiv.org/abs/1909.06846