Alzahra University

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19932025

most citedNon-Abelian Gauge Field Inflation

219 citations

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math.AC2020★ 3 cited

On the depth of symbolic powers of edge ideals of graphs

S. A. Seyed Fakhari

Assume that $G$ is a graph with edge ideal $I (G)$ and star packing number $α_{2} (G)$ . We denote the $s$ -th symbolic power of $I (G)$ by $I (G)^{(s)}$ . It is shown that the inequality $…

math.AC2020

Modules whose finiteness dimensions coincide with their cohomological dimensions

Kamran Divaani-Aazar, Akram Ghanbari Doust, Massoud Tousi +1

Let a be an ideal of a commutative Noetherian ring R with identity. We study finitely generated R-modules M whose a-finiteness and a-cohomological dimensions are equal. In particul…

math.AC2017

Local homology, finiteness of Tor modules and cofiniteness

Kamran Divaani-Aazar, Hossein Faridian, Massoud Tousi

Let $a$ be an ideal of a commutative noetherian ring $R$ with unity and $M$ an $R$ -module supported at $\V(\fa)$. Let $n$ be the supermum of the integers $i$ for which $H^{\f…

math.AC2017

Koszul cycles and Golod rings

Jürgen Herzog, Rasoul Ahangari Maleki

Let $S$ be the power series ring or the polynomial ring over a field $K$ in the variables $x_{1}, \dots, x_{n}$ , and let $R = S / I$ , where $I$ is proper ideal which we assume to be graded…

math.AC2014

Gorenstein homology, relative pure homology and virtually Gorenstein rings

Fatemeh Zareh-Khoshchehreh, Mohsen Asgharzadeh, Kamran Divaani-Aazar

We consider the following question: Is Gorenstein homology a X-pure homology, in the sense defined by Warfield, for a class X of modules? Let GP denote the class of Gorenstein proj…

math.AC2013

Pretty cleanness and filter-regular sequences

Somayeh Bandari, Kamran Divaani-Aazar, Ali Soleyman Jahan

Let $K$ be a field and $S = K [x_{1}, \dots, x_{n}]$ . Let $I$ be a monomial ideal of $S$ and $u_{1}, \dots, u_{r}$ be monomials in $S$ which form a filter-regular sequence on $S / I$ . We show t…