Zobrazeno 1 - 10
of 29
pro vyhledávání: '"13H10, 13D02"'
Autor:
Dey, Souvik, Dutta, Monalisa
Motivated by recent result of P\'erez and R.G. on equality of test ideal of module closure operation and trace ideal, and the well-known result by Smith that parameter test ideal cannot be contained in parameter ideals, we study the obstruction of co
Externí odkaz:
http://arxiv.org/abs/2312.01230
Autor:
Herzog, Jürgen, Hibi, Takayuki
The reduced divisor class group of a normal Cohen--Macaulay graded domain together with its torsion number is introduced. They are studied in detail especially for normal affine semigroup rings.
Externí odkaz:
http://arxiv.org/abs/2309.08202
Autor:
Maitra, Sarasij
For any finitely generated module $M$ with non-zero rank over a commutative one dimensional Noetherian local domain, the numerical invariant $h(M)$ was introduced and studied in the author's previous work "Partial Trace Ideals and Berger's Conjecture
Externí odkaz:
http://arxiv.org/abs/2207.03243
Let $K$ be a field and $R=K[x_1,\ldots, x_n]$ be the polynomial ring in $n$ variables over a field $K$. Let $\Delta$ be a simplicial complex on $n$ vertices and $I=I_{\Delta}$ be its Stanley-Reisner ideal. In this paper, we show that if $I$ is a matr
Externí odkaz:
http://arxiv.org/abs/2201.06756
Autor:
Kapustka, Gregorz, Kapustka, Michał, Ranestad, Kristian, Schenck, Hal, Stillman, Mike, Yuan, Beihui
A quaternary quartic form, a quartic form in four variables, is the dual socle generator of an Artinian Gorenstein ring of codimension and regularity 4. We present a classification of quartic forms in terms of rank and powersum decompositions which c
Externí odkaz:
http://arxiv.org/abs/2111.05817
Autor:
D'Alì, Alessio, Venturello, Lorenzo
Publikováno v:
International Mathematics Research Notices 2023 (2023), no. 6, pp. 4998-5045
We associate with every pure flag simplicial complex $\Delta$ a standard graded Gorenstein $\mathbb{F}$-algebra $R_{\Delta}$ whose homological features are largely dictated by the combinatorics and topology of $\Delta$. As our main result, we prove t
Externí odkaz:
http://arxiv.org/abs/2106.05051
Autor:
Maitra, Sarasij
For any finitely generated module $M$ with non-zero rank over a commutative one-dimensional Noetherian local domain, we study a numerical invariant $\operatorname{h}(M)$ based on a partial trace ideal of $M$. We study its properties and explore relat
Externí odkaz:
http://arxiv.org/abs/2003.11648
Publikováno v:
Compositio Math. 155 (2019) 2150-2179
One describes generators of disguised residual intersections in any commutative Noetherian rings. It is shown that, over Cohen-Macaulay rings, the disguised residual intersections and algebraic residual intersections are the same, for ideals with sli
Externí odkaz:
http://arxiv.org/abs/1810.05134
Autor:
Ghosh, Dipankar
Let $(R,\mathfrak{m})$ be a commutative Noetherian local ring which contains a regular sequence $ \underline{x} = x_1,\ldots,x_d \in \mathfrak{m} \smallsetminus \mathfrak{m}^2 $ such that $ \mathfrak{m}^3 \subseteq (\underline{x}) $. Let $ M $ be a f
Externí odkaz:
http://arxiv.org/abs/1808.07711
We identify minimal cases in which a power $m^i\not=0$ of the maximal ideal of a local ring $R$ is not Golod, i.e.\ the quotient ring $R/m^i$ is not Golod. Complementary to a 2014 result by Rossi and \c{S}ega, we prove that for a generic artinian Gor
Externí odkaz:
http://arxiv.org/abs/1708.02815