نتایج جستجو برای: castelnuovo mumford regularity
تعداد نتایج: 23714 فیلتر نتایج به سال:
Abstract Let $$A=\{a_0,\ldots ,a_{n-1}\}$$ A = { a 0 , … n - 1 } be a finite set of $$n\ge 4$$...
Castelnuovo–Mumford regularity is one of the most important invariants in commutative algebra. It has been investigated by various authors from different point of view. One of the interesting properties of regularity is its asymptotic behavior. In this talk first we will see some well-known facts of regularity and then I will present some known results of asymptotic behavior of quadratic square...
Let $R=k[x_1,x_2,cdots, x_N]$ be a polynomial ring over a field $k$. We prove that for any positive integers $m, n$, $text{reg}(I^mJ^nK)leq mtext{reg}(I)+ntext{reg}(J)+text{reg}(K)$ if $I, J, Ksubseteq R$ are three monomial complete intersections ($I$, $J$, $K$ are not necessarily proper ideals of the polynomial ring $R$), and $I, J$ are of the form $(x_{i_1}^{a_1}, x_{i_2}^{a_2}, cdots, x_{i_l...
D. Bayer and M. Stillman showed that Gröbner bases can be used to compute the Castelnuovo-Mumford regularity which is a measure for the vanishing of graded local cohomology modules. The aim of this paper is to show that the same method can be applied to study other cohomological invariants as well as the reduction number.
We study the initial ideal of binomial edge ideal in degree 2 ([in<(JG)]2), associated to a graph G. We computed dimension, depth, Castelnuovo-Mumford regularity, Hilbert function and Betti numbers of [in<(JG)]2 for some classes of graphs. AMS Mathematics Subject Classification (2010): 05E40, 16E30
Let $$\mathcal {D}$$ be a weighted oriented graph and let $$I(\mathcal {D})$$ its edge ideal in polynomial ring R. We give the formula of Castelnuovo–Mumford regularity $$R/I(\mathcal when is path or cycle such that edges are one direction. Additionally, we compute projective dimension for this class graphs.
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