Results 81 to 90 of about 136,089 (106)
Bounds for the Castelnuovo-Mumford regularity
, 2008 Bayer et Stillman ont montré que si R est un anneau de polynômes sur un corps k et I un idéal homogène de R, alors la régularité de I est égal au maximum des degrés des générateurs de son idéal initial générique pour l'ordre lexicographique inverse.
openaire +1 more source
Saturation and Castelnuovo–Mumford regularity [PDF]
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.
Philippe Giménez, Isabel Bermejo
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Castelnuovo–Mumford regularity of canonical and deficiency modules [PDF]
Journal of Algebra, 2006 We give two kinds of bounds for the Castelnuovo-Mumford regularity of the canonical module and the deficiency modules of a ring, respectively in terms of the homological degree and the Castelnuovo-Mumford regularity of the original ring.
Le Tuan Hoa, Eero Hyry
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Castelnuovo–Mumford regularity of initial ideals [PDF]
Journal of Symbolic Computation, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Le Tuan Hoa, Eero Hyry
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Castelnuovo–Mumford regularity of simplicial toric rings [PDF]
Journal of Algebra, 2003 Eisenbud and Goto conjectured that the Castelnuovo-Mumford regularity \(\text{reg}(R)\) of a standard graded domain over an algebraically closed field is bounded by the difference \(\text{deg}(R) -\text{codim}(R)\). So far the conjecture has been proved only in a few low-dimensional cases.
Le Tuan Hoa
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The Castelnuovo–Mumford regularity of binomial edge ideals
Journal of Combinatorial Theory - Series A, 2016 arXiv admin note: substantial text overlap with arXiv:1310 ...
Dariush Kiani, Sara Saeedi Madani
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Castelnuovo–Mumford regularity of deficiency modules
Journal of Algebra, 2009 Let View the MathML source and let M be a finitely generated graded module of dimension less-than-or-equals, slantd over a Noetherian homogeneous ring R with local Artinian base ring R0. Let beg(M), gendeg(M) and reg(M) respectively denote the beginning, the generating degree and the Castelnuovo–Mumford regularity of M.
Maryam Jahangiri, Markus Brodmann
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Non-commutative Castelnuovo–Mumford regularity and AS-regular algebras
Journal of Algebra, 2009 Let $A$ be a connected graded $k$-algebra with a balanced dualizing complex. We prove that $A$ is a Koszul AS-regular algebra if and only if that the Castelnuovo-Mumford regularity and the Ext-regularity coincide for all finitely generated $A$-modules. This can be viewed as a non-commutative version of \cite[Theorem 1.3]{ro}.
Q -S Wu
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Castelnuovo Mumford regularity with respect to multigraded ideals
Journal of Algebra, 2017 31 pages, 5 ...
Marc Chardin
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Connectivity through bounds for the Castelnuovo–Mumford regularity
Journal of Combinatorial Theory - Series A, 2017 We present a simple method to obtain information regarding the connectivity of the 1-skeleta of a wide family of simplicial complexes through bounds for the Castelnuovo-Mumford regularity of their Stanley-Reisner rings. In this way we generalize and unify two results on connectivity: one by Balinsky and Barnette, one by Athanasiadis. In particular, if $
Gabriele Balletti
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