AbstractLet (R,m) be a Cohen–Macaulay local ring of dimension d>0, I an m-primary ideal with almost minimal mixed multiplicity such that depth G(I)⩾d−1. We show that Fm(I) has almost maximal depth (i.e. depth Fm(I)⩾d−1)
AbstractLet (S,m) be a graded algebra of dimension d generated by finitely many elements of degree 1...
Let R be a Cohen-Macaulay local ring with infinite residue field. We define the notion of Goto-minim...
AbstractLet (R,m) be a Cohen–Macaulay local ring and let I be an m-primary ideal. We introduce ideal...
AbstractLet (R,m) be a Cohen–Macaulay local ring of dimension d>0, I an m-primary ideal with almost ...
AbstractLet I1,…,Ig be m-primary ideals in a local ring (R,m). Set R[It]≔R[I1t1,…,Igtg] and M=(m,I1t...
AbstractLet A be a Noetherian local ring with the maximal ideal m and an m-primary ideal J. Let S=⨁n...
AbstractLet (A,M) be a local Cohen–Macaulay ring of dimension d. Let I be an M-primary ideal and let...
AbstractLet I be an m-primary ideal in a Cohen–Macaulay local ring (A,m) of d=dimA≥1. The ideal I is...
AbstractLet (A,m) be a d-dimensional Noetherian local ring, M a finite Cohen–Macaulay A-module of di...
AbstractThe main purpose of this paper is to establish upper bounds for the first normalized Hilbert...
AbstractGiven a local Cohen–Macaulay ring (R,m), we study the interplay between the integral closedn...
AbstractLet (R, m) be a two-dimensional regular local ring with infinite residue field. For an m-pri...
AbstractWe study a notion called n-standardness (defined by M.E. Rossi (2000) in [10] and extended i...
AbstractLet R be a local Cohen–Macaulay ring, let I be an R-ideal, and let G be the associated grade...
Let $A=Q/(f)$ where $(Q,\mathfrak{n})$ be a complete regular local ring of dimension $d+1$, $f\in \m...
AbstractLet (S,m) be a graded algebra of dimension d generated by finitely many elements of degree 1...
Let R be a Cohen-Macaulay local ring with infinite residue field. We define the notion of Goto-minim...
AbstractLet (R,m) be a Cohen–Macaulay local ring and let I be an m-primary ideal. We introduce ideal...
AbstractLet (R,m) be a Cohen–Macaulay local ring of dimension d>0, I an m-primary ideal with almost ...
AbstractLet I1,…,Ig be m-primary ideals in a local ring (R,m). Set R[It]≔R[I1t1,…,Igtg] and M=(m,I1t...
AbstractLet A be a Noetherian local ring with the maximal ideal m and an m-primary ideal J. Let S=⨁n...
AbstractLet (A,M) be a local Cohen–Macaulay ring of dimension d. Let I be an M-primary ideal and let...
AbstractLet I be an m-primary ideal in a Cohen–Macaulay local ring (A,m) of d=dimA≥1. The ideal I is...
AbstractLet (A,m) be a d-dimensional Noetherian local ring, M a finite Cohen–Macaulay A-module of di...
AbstractThe main purpose of this paper is to establish upper bounds for the first normalized Hilbert...
AbstractGiven a local Cohen–Macaulay ring (R,m), we study the interplay between the integral closedn...
AbstractLet (R, m) be a two-dimensional regular local ring with infinite residue field. For an m-pri...
AbstractWe study a notion called n-standardness (defined by M.E. Rossi (2000) in [10] and extended i...
AbstractLet R be a local Cohen–Macaulay ring, let I be an R-ideal, and let G be the associated grade...
Let $A=Q/(f)$ where $(Q,\mathfrak{n})$ be a complete regular local ring of dimension $d+1$, $f\in \m...
AbstractLet (S,m) be a graded algebra of dimension d generated by finitely many elements of degree 1...
Let R be a Cohen-Macaulay local ring with infinite residue field. We define the notion of Goto-minim...
AbstractLet (R,m) be a Cohen–Macaulay local ring and let I be an m-primary ideal. We introduce ideal...
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