Results 1 to 10 of about 473 (10)

When are the natural embeddings of classical invariant rings pure?

Forum of Mathematics, Sigma, 2023
Consider a reductive linear algebraic group G acting linearly on a polynomial ring S over an infinite field; key examples are the general linear group, the symplectic group, the orthogonal group, and the special linear group, with the classical ...
Melvin Hochster, Jack Jeffries, Vaibhav Pandey, Anurag K. Singh   +3 more
doaj   +1 more source

Algebraic properties of the binomial edge ideal of a complete bipartite graph

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
Let JG denote the binomial edge ideal of a connected undirected graph on n vertices. This is the ideal generated by the binomials xiyj − xjyi, 1 ≤ i < j≤ n, in the polynomial ring S = K[x1, . . . , xn, y1, . . . , yn] where {i, j} is an edge of G.
Schenzel Peter, Zafar Sohail
doaj   +1 more source

Local Cohomology Modules and Relative Cohen-Macaulayness

Discussiones Mathematicae - General Algebra and Applications, 2018
Let (R, 𝔪) denote a commutative Noetherian local ring and let M be a finite R-module. In this paper, we study relative Cohen-Macaulay rings with respect to a proper ideal 𝔞 of R and give some results on such rings in relation with Artinianness, Non ...
Zohouri M. Mast
doaj   +1 more source

Hyperplane Arrangements Satisfy (Un)Twisted Logarithmic Comparison Theorems, Applications to $\mathscr {D}_{X}$ -modules

Forum of Mathematics, Pi
For a reduced hyperplane arrangement, we prove the analytic Twisted Logarithmic Comparison Theorem, subject to mild combinatorial arithmetic conditions on the weights defining the twist.
Daniel Bath
doaj   +1 more source

Guided bone regeneration in long-bone defects with a structural hydroxyapatite graft and collagen membrane. [PDF]

Tissue Eng Part A, 2013
Guda T, Walker JA, Singleton BM, Hernandez JW, Son JS, Kim SG, Oh DS, Appleford MR, Ong JL, Wenke JC.   +9 more
europepmc   +1 more source

A criterion for sequential Cohen-Macaulayness. [PDF]

Arch Math
Caviglia G, De Stefani A.
europepmc   +1 more source

Lyubeznik table of sequentially Cohen-Macaulay rings [PDF]

, 2013
We prove that sequentially Cohen-Macaulay rings in positive characteristic, as well as sequentially Cohen-Macaulay Stanley-Reisner rings in any characteristic, have trivial Lyubeznik table.
Montaner, Josep Alvarez
core   +6 more sources

Asymptotic linear bounds of Castelnuovo-Mumford regularity in multigraded modules [PDF]

, 2015
Let $A$ be a Noetherian standard $\mathbb{N}$-graded algebra over an Artinian local ring $A_0$. Let $I_1,\ldots,I_t$ be homogeneous ideals of $A$ and $M$ a finitely generated $\mathbb{N}$-graded $A$-module. We prove that there exist two integers $k$ and $
Ghosh, Dipankar
core   +1 more source

Socle finiteness of local cohomology modules and Gorenstein ideals

, 2013
The purpose of this paper is to give some equivalent conditions to the socle and Bass numbers' conjectures which raised by C. Huneke in (Problems on local cohomology, Free resolutions in commutative algebra and algebraic geometry, Res. Notes Math.
Bahmanpour, Kamal, Mehrvarz, Ali Akbar, Naghipour, Reza   +2 more
core   +1 more source

Cofiniteness of weakly Laskerian local cohomology modules [PDF]

, 2012
Let $I$ be an ideal of a Noetherian ring R and M be a finitely generated R-module. We introduce the class of extension modules of finitely generated modules by the class of all modules $T$ with $\dim T\leq n$ and we show it by ${\rm FD_{\leq n}}$ where ...
Dedicated To, Kamal Bahmanpour, Moharram Aghapournahr, Professor Leif Melkersson   +3 more
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