Results 31 to 40 of about 3,151 (106)
Castelnuovo–Mumford regularity and Ratliff–Rush closure [PDF]
Journal of Algebra, 2018 16 pages; to appear in Journal of ...
Rossi, ME, Trung, DT, Trung, NV
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Regularity of squarefree monomial ideals [PDF]
, 2013 We survey a number of recent studies of the Castelnuovo-Mumford regularity of squarefree monomial ideals. Our focus is on bounds and exact values for the regularity in terms of combinatorial data from associated simplicial complexes and/or hypergraphs ...
C. Berge +23 more
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Minimal Castelnuovo-Mumford regularity for a given Hilbert polynomial [PDF]
, 2015 Let $K$ be an algebraically closed field of null characteristic and $p(z)$ a Hilbert polynomial. We look for the minimal Castelnuovo-Mumford regularity $m_{p(z)}$ of closed subschemes of projective spaces over $K$ with Hilbert polynomial $p(z ...
Cioffi, Francesca +3 more
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Saturation and Castelnuovo–Mumford regularity
Journal of Algebra, 2006 Formulae for the (Castelnuovo-Mumford) regularity reg\((I)\) and for other cohomological invariants of a homogeneous ideal \(I\) of a polynomial ring over a field \(k\) are proven; the methods are effective, i. e. can be realized in a computer algebra system - this was done by the authors (SINGULAR) and is also explained in the paper.
Bermejo, Isabel, Gimenez, Philippe
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A remark on sequentially Cohen-Macaulay monomial ideals [PDF]
Transactions on CombinatoricsLet $R=K[x_1,\ldots,x_n]$ be the polynomial ring in $n$ variables over a field $K$. We show that if $G$ is a connected graph with a basic $5$-cycle $C$, then $G$ is a sequentially Cohen-Macaulay graph if and only if there exists a shedding vertex $x$ of $
Mozhgan Koolani, Amir Mafi
doaj +1 more source
Castelnuovo–Mumford regularity by approximation
Advances in Mathematics, 2004 The Castelnuovo-Mumford regularity of a module gives a rough measure of its complexity. We bound the regularity of a module given a system of approximating modules whose regularities are known. Such approximations can arise naturally for modules constructed by inductive combinatorial means.
Derksen, Harm, Sidman, Jessica
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Matchings in hypergraphs and Castelnuovo--Mumford regularity [PDF]
Publicationes Mathematicae Debrecen, 2017 In this paper, we introduce and generalize some combinatorial invariants of graphs such as matching number and induced matching number to hypergraphs. Then we compare them together and present some upper bounds for the regularity of Stanley-Reisner ring of $Δ_{\mathcal{H}}$ for certain hypergraphs $\mathcal{H}$ in terms of the introduced matching ...
Khosh-Ahang, Fahimeh, Moradi, Somayeh
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Regularity of second power of edge ideals
پژوهشهای ریاضی, 2022 Introduction The study of the minimal free resolution of homogenous ideals and their powers is an interesting and active area of research in commutative algebra.
Seyed Amin Seyed Fakhari
doaj
Asymptotic behaviour of Castelnuovo-Mumford regularity [PDF]
Proceedings of the American Mathematical Society, 1999 Summary: Let \(S\) be a polynomial ring over a field. For a graded \(S\)-module generated in degree at most \(P\), the Castelnuovo-Mumford regularity of each of (i) its \(n\)-th symmetric power, (ii) its \(n\)-th torsion-free symmetric power, and (iii) the integral closure of its \(n\)-th torsion-free symmetric power is bounded above by a linear ...
Vijay Kodiyalam
semanticscholar +3 more sources
Koszul algebras and regularity [PDF]
, 2012 This is a survey paper on commutative Koszul algebras and Castelnuovo-Mumford regularity. We describe several techniques to establish the Koszulness of algebras.
Conca, Aldo +2 more
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