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pro vyhledávání: '"Ananthnarayan, H."'
Let $R$ be a fibre product of standard graded algebras over a field. We study the structure of syzygies of finitely generated graded $R$-modules. As an application of this, we show that the existence of an $R$-module of finite regularity and infinite
Externí odkaz:
http://arxiv.org/abs/2404.07297
As a higher analogue of the edge ideal of a graph, we study the $t$-connected ideal $\operatorname{J}_{t}$. This is the monomial ideal generated by the connected subsets of size $t$. For trees, we show that $\operatorname{J}_{t}$ has a linear resolut
Externí odkaz:
http://arxiv.org/abs/2401.01046
Given a finitely generated module $M$ over a Noetherian local ring $R$, one would like to know when the corresponding associated graded module has a pure resolution over $G_{\mathfrak{m}}(R)$. In this article, we identify a complex of free $G_{\mathf
Externí odkaz:
http://arxiv.org/abs/2308.00654
Let ${\sf k}$ be a field, $S$ be a bigraded ${\sf k}$-algebra, and $S_\Delta$ denote the diagonal subalgebra of $S$ corresponding to $\Delta = \{ (cs,es) \; | \; s \in \mathbb{Z} \}$. It is know that the $S_\Delta$ is Koszul for $c,e \gg 0$. In this
Externí odkaz:
http://arxiv.org/abs/1901.05027
In 2012, Ananthnarayan, Avramov and Moore gave a new construction of Gorenstein rings from two Gorenstein local rings, called their connected sum. In this article, we investigate conditions on the associated graded ring of a Gorenstein Artin local ri
Externí odkaz:
http://arxiv.org/abs/1705.01413
Autor:
Ananthnarayan, H., Kumar, Rajiv
We show that the property of a standard graded algebra R being Cohen-Macaulay is characterized by the existence of a pure Cohen-Macaulay R-module corresponding to any degree sequence of length at most depth(R). We also give a relation in terms of gra
Externí odkaz:
http://arxiv.org/abs/1701.06475
In 2012, Ananthnarayan, Avramov and Moore give a new construction of Gorenstein rings from two Gorenstein local rings, called their connected sum. Given a Gorenstein ring, one would like to know whether it decomposes as a connected sum and if so, wha
Externí odkaz:
http://arxiv.org/abs/1406.7600
Publikováno v:
In Journal of Algebra 1 June 2019 527:241-263
Autor:
Ananthnarayan, H., Huneke, Craig
We study a notion called $n$-standardness (defined by M. E. Rossi and extended in this paper) of ideals primary to the maximal ideal in a Cohen-Macaulay local ring and some of its consequences. We further study conditions under which the maximal idea
Externí odkaz:
http://arxiv.org/abs/1005.1310