Results 231 to 240 of about 4,993 (263)
Some of the next articles are maybe not open access.
On the symbolic rees ring of a primary ideal
Communications in Algebra, 1986Katz Daniel, Louis J Ratliff
exaly +2 more sources
F-Rationality of Rees Algebras
Journal of Algebra, 2002 In this paper, using the notion of the tight integral closure, we will give a criterion for F-rationality of Rees algebras of m-primary ideals in a Cohen–Macaulay local ring.
Nobuo Hara +2 more
exaly +2 more sources
The moving curve ideal and the Rees algebra
Theoretical Computer Science, 2008 The Rees algebra of an ideal in a commutative ring is the quotient of a polynomial ring by its ideal of defining relations. For a polynomial ring in two variables, this ideal was discovered independently by the geometric modeling community, where it is ...
Cox, David A.
exaly +2 more sources
The failure of the Artin–Rees property for the Jacobson radical in prime Noetherian rings
Journal of Algebra, 2011 We provide an example of a prime Noetherian ring whose Jacobson radical fails to satisfy the Artin-Rees (AR) property on either side. The ring constructed is a finite module over its Noetherian centre.
C.R. Hajarnavis +4 more
exaly +2 more sources
Segre products and rees algebras of face rings
Communications in Algebra, 1992(1992). Segre products and rees algebras of face rings. Communications in Algebra: Vol. 20, No. 11, pp. 3369-3380.
Ralf FroÖberg, Le  TuaÂn Hoa
openaire +1 more source
On Homogeneous Prime Spectra of Certain Rees Rings
Communications in Algebra, 2009Let I be a regular proper ideal in a Noetherian ring R, and let P(I) be the set of all integrally closed ideals J of R that are projectively equivalent to I. It is known that there is naturally associated to I a positive integer d and an additive subsemigroup {c i |i ∈ ℕ+} of ℕ+ such that , where is the integrally closed ideal {x ∈ R|x d is in the ...
Louis J. Ratliff, David E. Rush
openaire +1 more source
The Rees algebra of a positive normal affine semigroup ring
manuscripta mathematica, 2006In this nice paper the author studies the integral closure of the Rees algebra \(R[mt]\) in \(R[t]\) when \(R\) is a positive normal affine semigroup ring and \(m\) is the maximal homogeneous ideal of \(R\). The main result is that the integral closure \(\overline{m^{n+1}} = m\overline{m^{n}}\) for all \(n \geq d -2\) where \(d = \dim R\).
openaire +1 more source
A construction of Prüfer rings involving quotients of Rees algebras
Journal of Algebra and Its Applications, 2018A family of quotients of a Rees algebra associated to a ring with respect to a fixed ideal was recently introduced by Barucci, D’Anna and Strazzanti. In this paper, we will classify rings of this family that satisfy certain Prüfer-like properties and, as a particular case, we will extend results obtained for amalgamated duplications and Nagata ...
openaire +2 more sources
Finiteness of Relative REES Rings and Asymptotic Prime Divisors
Mathematische Nachrichten, 1986Let I and J be ideals of a noetherian ring R. The ascending chain of ideals \((I:J)\subset (I:J^ 2)\subset..\). stabilizes. Let \(I:\) denote the limit. (It is not difficult to see that \(I:\) is the intersection of those primary components of I whose associated prime ideal does not contain J.) This paper compares the filtration \(F=\{I^ n:\}\) with ...
openaire +2 more sources