Let (A, m) be a Noetherian local ring. Let F = {I_n}_<n≥0> be a good filtration of ideals in A. Denote by R(F) = ⊕_<n≥0> I_nt^n the Rees algebra of F. In this paper we investigate the mixed multiplicities of F and the relationship between the multiplicity of R(F) and the mixed multiplicities of F. As an application, we obtain several multiplicity formulas that express the multiplicity of R(F) as a sum of Hilbert–Samuel multiplicities of some quotient rings of A
ABSTRACT. Let (R, M) be a local ring with infinite residue field and / = (xi,...,Xd)R an ideal gener...
AbstractLet (S,m) be a graded algebra of dimension d generated by finitely many elements of degree 1...
Based on classical results of Rees and on multivariate Hilbert polynomials, we define new mixed mult...
AbstractLet I1, I2,…, Ig be ideals of positive height in a local ring (R, m). Let I0 be m-primary. S...
Let I1,I2,..., I(g) be ideals of positive height in a local ring (R, m). Let I0 be m-primary. Set S ...
AbstractLet I be an equimultiple ideal of Noetherian local ring A. This paper gives some multiplicit...
Let (R,m) be a Noetherian local ring. Mixed multiplicities of finitely many m-primary ideals were f...
Let (R,m) be a Noetherian local ring. Mixed multiplicities of finitely many m-primary ideals were f...
Let (R, m) be a d-dimensional Noetherian local ring. In this work we prove that the mixed Buchsbaum-...
AbstractLet (R,m) be a d-dimensional Noetherian local ring. In this work we prove that the mixed Buc...
Let A be a Noetherian local ring with the maximal ideal m and an m-primary ideal J .Let F ={I_n}_<n≥...
Let (R, m) be a d-dimensional Noetherian local ring. In this work we prove that the mixed Buchsbaum-...
Let R be a standard graded Noetherian algebra over an Artinian local ring. Motivated by the work of ...
This dissertation explores the notion of multiplicity and its generalizations within the theory of c...
[[abstract]]Let (R,m) be a Noetherian local ring of dimension d and let I be an ideal of R such that...
ABSTRACT. Let (R, M) be a local ring with infinite residue field and / = (xi,...,Xd)R an ideal gener...
AbstractLet (S,m) be a graded algebra of dimension d generated by finitely many elements of degree 1...
Based on classical results of Rees and on multivariate Hilbert polynomials, we define new mixed mult...
AbstractLet I1, I2,…, Ig be ideals of positive height in a local ring (R, m). Let I0 be m-primary. S...
Let I1,I2,..., I(g) be ideals of positive height in a local ring (R, m). Let I0 be m-primary. Set S ...
AbstractLet I be an equimultiple ideal of Noetherian local ring A. This paper gives some multiplicit...
Let (R,m) be a Noetherian local ring. Mixed multiplicities of finitely many m-primary ideals were f...
Let (R,m) be a Noetherian local ring. Mixed multiplicities of finitely many m-primary ideals were f...
Let (R, m) be a d-dimensional Noetherian local ring. In this work we prove that the mixed Buchsbaum-...
AbstractLet (R,m) be a d-dimensional Noetherian local ring. In this work we prove that the mixed Buc...
Let A be a Noetherian local ring with the maximal ideal m and an m-primary ideal J .Let F ={I_n}_<n≥...
Let (R, m) be a d-dimensional Noetherian local ring. In this work we prove that the mixed Buchsbaum-...
Let R be a standard graded Noetherian algebra over an Artinian local ring. Motivated by the work of ...
This dissertation explores the notion of multiplicity and its generalizations within the theory of c...
[[abstract]]Let (R,m) be a Noetherian local ring of dimension d and let I be an ideal of R such that...
ABSTRACT. Let (R, M) be a local ring with infinite residue field and / = (xi,...,Xd)R an ideal gener...
AbstractLet (S,m) be a graded algebra of dimension d generated by finitely many elements of degree 1...
Based on classical results of Rees and on multivariate Hilbert polynomials, we define new mixed mult...
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