Results 91 to 100 of about 25,379 (179)

On the Hilbert depth of the Hilbert function of a finitely generated graded module

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let K be a field, A a standard graded K-algebra and M a finitely generated graded A-module. Inspired by our previous works, see [2] and [3], we study the invariant called Hilbert depth of hM, that is hdepth(hM)=max{d:∑j≤k(-1)k-j(d-jk-j)hM(j)≥0  for  all ...
Bălănescu Silviu, Cimpoeaş Mircea
doaj   +1 more source

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
doaj  

Monomial ideals and $n$-lists

Illinois Journal of Mathematics, 2004
Generalizing a construction of \textit{A. V. Geramita}, \textit{T. Harima} and \textit{Y. S. Shin} [Ill. J. Math 45, 1--23 (2001; Zbl 1095.13500)], the author introduces so-called \(n\)-lists: A \(1\)-list is a natural number, and for \(n\geq 1\) an \(n\)-list is a decreasing infinite sequence of \((n- 1)\)-lists, where \(A\geq B\) for two \(n\)-lists \
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Local Cohomology at Monomial Ideals

Journal of Symbolic Computation, 2000
For a reduced monomial ideal B in R=k[X_1,...,X_n], we write H^i_B(R) as the union of {Ext^i(R/B^[d],R)}_d, where {B^[d]}_d are the "Frobenius powers of B". We describe H^i_B(R)_p, for every p in Z^n, in the spirit of the Stanley-Reisner theory. As a first application we give an isomorphism Tor_i(B', k)_p\iso Ext^{|p|-i}(R/B,R)_{-p} for all p in {0,1 ...
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Higher Polynomial Identities for Mutations of Associative Algebras. [PDF]

Results Math, 2023
Bremner MR, Brox J, Sánchez-Ortega J.
europepmc   +1 more source

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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Skeletons of monomial ideals

, 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, Jahan, Ali Soleyman, Zheng, Xinxian   +2 more
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Physics-Inspired Equivariant Descriptors of Nonbonded Interactions. [PDF]

J Phys Chem Lett, 2023
Huguenin-Dumittan KK, Loche P, Haoran N, Ceriotti M.   +3 more
europepmc   +1 more source

Symbolic defect of monomial ideals

Communications in Algebra
Given 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.
europepmc   +1 more source