Zobrazeno 1 - 10
of 288
pro vyhledávání: '"Yassemi, Siamak"'
We describe the shape of the Lyubeznik table of either rings in positive characteristic or Stanley-Reisner rings in any characteristic when they satisfy Serre's condition $S_r$ or they are Cohen-Macaulay in a given codimension, condition denoted by $
Externí odkaz:
http://arxiv.org/abs/2407.20129
Autor:
Haerizadeh, Mohamad, Yassemi, Siamak
The non-decreasing condition on g-vectors is introduced. Our study shows that this condition is both necessary and sufficient to ensure that the generically indecomposable direct summands of a given g-vector are linearly independent. Additionally, we
Externí odkaz:
http://arxiv.org/abs/2401.07328
Let $G$ be a graph with $n$ vertices and let $S=\mathbb{K}[x_1,\dots,x_n]$ be the polynomial ring in $n$ variables over a field $\mathbb{K}$. Assume that $I(G)$ and $J(G)$ denote the edge ideal and the cover ideal of $G$, respectively. We provide a c
Externí odkaz:
http://arxiv.org/abs/2308.10463
Autor:
Swanson, Irena, Yassemi, Siamak
We show that for a square-free monomial ideal, the regularity of its symbolic (second) power and of the integral closure of of its (second) power can differ from the regularity of its ordinary (second) power by an arbitrarily large integer.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/2306.00661
We characterize unmixed and Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs. We also provide examples of oriented graphs which have unmixed and non-Cohen-Macaulay vertex-weighted edge ideals, while the edge ideal of their underly
Externí odkaz:
http://arxiv.org/abs/2003.12379
We introduce new homological dimensions, namely the Cohen-Macaulay projective, injective and flat dimensions for homologically bounded complexes. Among other things we show that (a) these invariants characterize the Cohen-Macaulay property for local
Externí odkaz:
http://arxiv.org/abs/1904.03586
Publikováno v:
Math. Scand. 126 (2020), 209-220
Let $R$ be a commutative noetherian local ring. We define a new invariant for $R$-modules which we call the little dimension. Using it, we extend the improved new intersection theorem.
Comment: 7 pages, to appear in Math. Scand
Comment: 7 pages, to appear in Math. Scand
Externí odkaz:
http://arxiv.org/abs/1812.09704
Autor:
Moradifar, Pooyan, Yassemi, Siamak
The theory of finitely generated relative (co)tilting modules has been established in the 1980s by Auslander and Solberg, and infinitely generated relative tilting modules have recently been studied by many authors in the context of Gorenstein homolo
Externí odkaz:
http://arxiv.org/abs/1812.09349
Let $G$ be a graph with edge ideal $I(G)$. We recall the notions of $\min-match_{\{K_2, C_5\}}(G)$ and $\ind-match_{\{K_2, C_5\}}(G)$ from \cite{sy}. We show that $${\rm reg}(I(G)^s)\leq 2s+\min-match_{\{K_2, C_5\}}(G)-1,$$for all $s\geq 1$, which im
Externí odkaz:
http://arxiv.org/abs/1805.12508
Given a non-unit, non-zero-divisor, central element $x$ of a ring $\Lambda$, it is well known that many properties or invariants of $\Lambda$ determine, and are determined by, those of $\Lambda / x \Lambda$ and $\Lambda_x$. In the present paper, we i
Externí odkaz:
http://arxiv.org/abs/1710.05518