Results 61 to 70 of about 194,411 (117)

Links of Prime Ideals and Their Rees Algebras

Journal of Algebra, 1995
In a previous paper we exhibited the somewhat surprising property that most direct links of prime ideals in Gorenstein rings are equimultiple ideals with reduction number $1$. This led to the construction of large families of Cohen--Macaulay Rees algebras. The first goal of this paper is to extend this result to arbitrary Cohen--Macaulay rings.
Corso, A., Polini, C.
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A new explicit numerical scheme for enhancement of heat transfer in Sakiadis flow of micro polar fluid using electric field. [PDF]

Heliyon, 2023
Nawaz Y, Arif MS, Abodayeh K, Ashraf MU, Naz M.   +4 more
europepmc   +1 more source

Rees algebras of truncations of complete intersections

Journal of Algebra, 2014
In this paper we describe the defining equations of the Rees algebra and the special fiber ring of a truncation I of a complete intersection ideal in a polynomial ring over a field with homogeneous maximal ideal m. To describe explicitly the Rees algebra R(I) in terms of generators and relations we map another Rees ring R(M) onto it, where M is the ...
Lin, Kuei-Nuan, Polini, Claudia
openaire   +2 more sources

Matroid connectivity and singularities of configuration hypersurfaces. [PDF]

Lett Math Phys, 2021
Denham G, Schulze M, Walther U.
europepmc   +1 more source

Cohen–Macaulay Multi–Rees Algebras [PDF]

Compositio Mathematica, 2002
Let A be a local ring, and let I 1 ,…, I r ⊂ A be ideals of positive height.
openaire   +1 more source

Golod-Shafarevich algebras, free subalgebras and Noetherian images [PDF]

, 2012
It is shown that Golod–Shafarevich algebras of a reduced number of defining relations contain noncommutative free subalgebras in two generators, and that these algebras can be homomorphically mapped onto prime, Noetherian algebras with linear growth.
Agata Smoktunowicz, Smoktunowicz, Agata
core   +1 more source

André-Quillen homology of Rees algebras and extended Rees algebras

Let $(A,\mathfrak{m})$ be an excellent local complete intersection ring and let $I = (a_1, \ldots, a_r)$ be an ideal of positive height. Let $\mathcal{R}(I) = A[It]$ be the Rees algebra of $I$. Consider the map $ψ\colon S = A[X_1, \ldots, X_r] \rightarrow \mathcal{R}(I)$ which maps $X_i \mapsto a_it$ for all $i$.
openaire   +2 more sources

On Rees Algebras with a Gorenstein Veronese Subring

Journal of Algebra, 1998
Let \((A,m)\) be a noetherian local ring and \(I\) an ideal of \(A\). In this paper, the authors study the relationship between the properties of the graded rings \(R(I)=\bigoplus_{n\geq 0}I^n\) and \(G(I)=\bigoplus_{n\geq 0}I^n/I^{n+1}\) associated to \(I\) (especially, the structure of their canonical modules) and the vanishing property of their ...
Herrmann, M, Hyry, E, Korb, T
openaire   +1 more source

Quiver Varieties, Category O for Rational Cherednik Algebras, and Hecke Algebras [PDF]

, 2008
We relate the representations of the rational Cherednik algebras associated with the complex reflection group S-n x (mu e)(n) to sheaves on Nakajima quiver varieties associated with extended Dynkin graphs via a Z-algebra construction.
Gordon, I. G.
core   +1 more source

Rees algebras of modules

, 2008
Dedicated to David Rees on his eighty-fifth birthday We study Rees algebras of modules within a fairly general framework. We introduce an approach through the notion of Bourbaki ideals that allow the use of deformation theory.
Wolmer V. Vasconcelos, Aron Simis, Bernd Ulrich   +2 more
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