Add to ORKGTo Professor D. Rees, in honor of his nintieth birthday Abstract. Let (R,m) be a local ring of Krull dimension d and I ⊆ R be an ideal with analytic spread d. We show that the j-multiplicity of I is determined by the Rees valuations of I centered on m. We also discuss a multiplicity that is the limsup of a sequence of lengths that grow at an O(nd) rate. 1
Let (A, m) be a Noetherian local ring. Let F = {I_n}_<n≥0> be a good filtration of ideals in A. Deno...
Let V be a one-dimensional nondiscrete valuation domain and let V* = V \ {0}. We prove that Krull-di...
This dissertation explores the notion of multiplicity and its generalizations within the theory of c...
To Professor D. Rees, in honor of his nintieth birthday Let (R,m) be a local ring of Krull dimension...
AbstractThe j-multiplicity is an invariant that can be defined for any ideal in a Noetherian local r...
The j-multiplicity is an invariant that can be defined for any ideal in a Noetherian local ring (A,m...
ABSTRACT. Let (R, M) be a local ring with infinite residue field and / = (xi,...,Xd)R an ideal gener...
AbstractLet I1, I2,…, Ig be ideals of positive height in a local ring (R, m). Let I0 be m-primary. S...
Let $R= \oplus_{n\in \mathbb{N}_0}R_n$ be a Noetherian homogeneous ring with local base ring $(R_0,\...
[[abstract]]Let (R,m) be a Noetherian local ring of dimension d and let I be an ideal of R such that...
Let I1,I2,..., I(g) be ideals of positive height in a local ring (R, m). Let I0 be m-primary. Set S ...
AbstractSuppose (R, m) is a Cohen-Macaulay local ring of dimension d≥2 and I is an ideal of R genera...
The j-multiplicity plays an important role in the intersection theory of Stuckrad-Vogel cycles, whil...
Let A = K[X-1, ..., X-n] and let I be a graded ideal in A. We show that the upper bound of the multi...
AbstractLet R be a regular noetherian local ring of dimension n≥2 and (Ri)≡R=R0⊂R1⊂R2⊂⋯⊂Ri⊂⋯ be a se...
Let (A, m) be a Noetherian local ring. Let F = {I_n}_<n≥0> be a good filtration of ideals in A. Deno...
Let V be a one-dimensional nondiscrete valuation domain and let V* = V \ {0}. We prove that Krull-di...
This dissertation explores the notion of multiplicity and its generalizations within the theory of c...
To Professor D. Rees, in honor of his nintieth birthday Let (R,m) be a local ring of Krull dimension...
AbstractThe j-multiplicity is an invariant that can be defined for any ideal in a Noetherian local r...
The j-multiplicity is an invariant that can be defined for any ideal in a Noetherian local ring (A,m...
ABSTRACT. Let (R, M) be a local ring with infinite residue field and / = (xi,...,Xd)R an ideal gener...
AbstractLet I1, I2,…, Ig be ideals of positive height in a local ring (R, m). Let I0 be m-primary. S...
Let $R= \oplus_{n\in \mathbb{N}_0}R_n$ be a Noetherian homogeneous ring with local base ring $(R_0,\...
[[abstract]]Let (R,m) be a Noetherian local ring of dimension d and let I be an ideal of R such that...
Let I1,I2,..., I(g) be ideals of positive height in a local ring (R, m). Let I0 be m-primary. Set S ...
AbstractSuppose (R, m) is a Cohen-Macaulay local ring of dimension d≥2 and I is an ideal of R genera...
The j-multiplicity plays an important role in the intersection theory of Stuckrad-Vogel cycles, whil...
Let A = K[X-1, ..., X-n] and let I be a graded ideal in A. We show that the upper bound of the multi...
AbstractLet R be a regular noetherian local ring of dimension n≥2 and (Ri)≡R=R0⊂R1⊂R2⊂⋯⊂Ri⊂⋯ be a se...
Let (A, m) be a Noetherian local ring. Let F = {I_n}_<n≥0> be a good filtration of ideals in A. Deno...
Let V be a one-dimensional nondiscrete valuation domain and let V* = V \ {0}. We prove that Krull-di...
This dissertation explores the notion of multiplicity and its generalizations within the theory of c...