Results 101 to 110 of about 25,354 (185)
Tameness of local cohomology of monomial ideals with respect to monomial prime ideals
Journal of Pure and Applied Algebra, 2007 In this paper we consider the local cohomology of monomial ideals with respect to monomial prime ideals and show that all these local cohomology modules are tame.
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, 2008 In analogy to the skeletons of a simplicial complex and their Stanley--Reisner ideals we introduce the skeletons of an arbitrary monomial ideal $I\subset S=K[x_1,...,x_n]$. This allows us to compute the depth of $S/I$ in terms of its skeleton ideals. We apply these techniques to show that Stanley's conjecture on Stanley decompositions of $S/I$ holds ...
Herzog, Juergen +2 more
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Some results on simple complete ideals having one characteristic pair
Le Matematiche, 2003 Let α be a regular local two-dimensional ring, and let m = (x, y) be its maximal ideal. Let m > n > 1 be coprime integers, and let p be the integral closure of the ideal (x^m , y^n ).
Silvio Greco, Karlheinz Kiyek
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Physics-Inspired Equivariant Descriptors of Nonbonded Interactions. [PDF]
J Phys Chem Lett, 2023 Huguenin-Dumittan KK +3 more
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Symbolic defect of monomial ideals
Communications in AlgebraGiven a monomial ideal $I$, we study two functions that quantify ways to measure the difference between symbolic powers and usual powers of $I$. In many cases we determine the asymptotic growth rate of these two functions. We also perform explicit computations by using the symbolic polyhedron.
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Physical Layer Security in Two-Way SWIPT Relay Networks with Imperfect CSI and a Friendly Jammer. [PDF]
Entropy (Basel), 2023 Hayajneh M, Gulliver TA.
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Corneal Higher-Order Aberrations Measurements: Precision of SD-OCT/Placido Topography and Comparison with a Scheimpflug/Placido Topography in Eyes After Small-Incision Lenticule Extraction. [PDF]
Ophthalmol Ther, 2023 Ning R +11 more
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Tropical ideals do not realise all Bergman fans. [PDF]
Res Math Sci, 2021 Draisma J, Rincón F.
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On the combinatorics of crystal structures. II. Number of Wyckoff sequences of a given subdivision complexity. [PDF]
Acta Crystallogr A Found Adv, 2023 Hornfeck W, Červený K.
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, 2002 In this paper we investigate the question of normality for special monomial ideals in a polynomial ring over a field. We first include some expository sections that give the basics on the integral closure of a ideal, the Rees algebra on an ideal, and some fundamental results on the integral closure of a monomial ideal.
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