Results 71 to 80 of about 734 (182)

André-Quillen homology of Rees algebras and extended Rees algebras

open access: yes
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

Cohen–Macaulay Multi–Rees Algebras [PDF]

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

On Rees Algebras with a Gorenstein Veronese Subring

open access: yesJournal 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

Rees algebras of sparse determinantal ideals [PDF]

open access: yes
We determine the defining equations of the Rees algebra and of the special fiber ring of the ideal of maximal minors of a $2\times n$ sparse matrix. We prove that their initial algebras are ladder determinantal rings. This allows us to show that the Rees
Celikbas, Ela   +6 more
core   +1 more source

EXPONENTIAL MAP OF A CLASS OF TOP SPACES [PDF]

open access: yesJournal of Mahani Mathematical Research, 2012
Neda Ebrahimi
doaj   +1 more source

A family of quotients of the Rees algebra

open access: yes, 2020
A family of quotient rings of the Rees algebra associated to a commutative ring is studied. This family generalizes both the classical concept of idealization by Nagata and a more recent concept, the amalgamated duplication of a ring.
Strazzanti, M. D' V Barucci, F Anna
core  

On residual finiteness of monoids, their Schützenberger groups and associated actions

open access: yes, 2014
RG was supported by an EPSRC Postdoctoral Fellowship EP/E043194/1 held at the University of St Andrews, Scotland.In this paper we discuss connections between the following properties: (RFM) residual finiteness of a monoid M ; (RFSG) residual finiteness ...
Ruskuc, Nik   +3 more
core   +1 more source

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