DOIAbstract
AbstractLet (R,m) be a Gorenstein local ring. We give a criterion for a stable m-primary ideal of R to have the Gorenstein associated graded ring. Using this criterion, we give various examples of Gorenstein associated graded rings
AbstractLet (R,m) be a Gorenstein local ring. We give a criterion for a stable m-primary ideal of R to have the Gorenstein associated graded ring. Using this criterion, we give various examples of Gorenstein associated graded rings
Abstract. Let A be a regular local ring and let F = {Fn}n∈Z be a filtration of ideals in A such that...
AbstractThis paper deals with local rings R possessing an m-canonical ideal ω, R⊆ω. In particular th...
AbstractLet (A,M) be a local Cohen–Macaulay ring of dimension d. Let I be an M-primary ideal and let...
AbstractLet (R,m) be a Gorenstein local ring. We give a criterion for a stable m-primary ideal of R ...
AbstractLet (R, m) be a local ring with d = dim(R)≥1 and with infinite residue field. By using Hilbe...
In this article we investigate the Gorenstein property of the associated graded ring GA(I) of an ide...
Given a Noetherian local ring $ (R,m)$ it is shown that there exists an integer $ \ell$ such that $ ...
Dedicated to Professor Shiro Goto on the occasion of his sixtieth birthday Abstract. Given a Noether...
Dedicated to Professor Shiro Goto on the occasion of his sixtieth birthday Abstract. Given a Noether...
Abstract. Let I be an m-primary ideal of a Noetherian local ring (R;m). We consider the Gorenstein a...
AbstractThis paper studies the question of when the associated graded ring G(I)≔⊕n≥0In/In+1 of a cer...
AbstractThis paper explores the structure of quasi-socle ideals I=Q:m2 in a Gorenstein local ring A,...
In this paper, starting with a commutative ring R and a proper ideal I ⊂ R, we construct and study a...
AbstractIn this paper, starting with a commutative ring R and a proper ideal I⊂R, we construct and s...
In this paper we determine the exponents n for which the Rees ring R(In) and the form ring grA (In) ...
Abstract. Let A be a regular local ring and let F = {Fn}n∈Z be a filtration of ideals in A such that...
AbstractThis paper deals with local rings R possessing an m-canonical ideal ω, R⊆ω. In particular th...
AbstractLet (A,M) be a local Cohen–Macaulay ring of dimension d. Let I be an M-primary ideal and let...
AbstractLet (R,m) be a Gorenstein local ring. We give a criterion for a stable m-primary ideal of R ...
AbstractLet (R, m) be a local ring with d = dim(R)≥1 and with infinite residue field. By using Hilbe...
In this article we investigate the Gorenstein property of the associated graded ring GA(I) of an ide...
Given a Noetherian local ring $ (R,m)$ it is shown that there exists an integer $ \ell$ such that $ ...
Dedicated to Professor Shiro Goto on the occasion of his sixtieth birthday Abstract. Given a Noether...
Dedicated to Professor Shiro Goto on the occasion of his sixtieth birthday Abstract. Given a Noether...
Abstract. Let I be an m-primary ideal of a Noetherian local ring (R;m). We consider the Gorenstein a...
AbstractThis paper studies the question of when the associated graded ring G(I)≔⊕n≥0In/In+1 of a cer...
AbstractThis paper explores the structure of quasi-socle ideals I=Q:m2 in a Gorenstein local ring A,...
In this paper, starting with a commutative ring R and a proper ideal I ⊂ R, we construct and study a...
AbstractIn this paper, starting with a commutative ring R and a proper ideal I⊂R, we construct and s...
In this paper we determine the exponents n for which the Rees ring R(In) and the form ring grA (In) ...
Abstract. Let A be a regular local ring and let F = {Fn}n∈Z be a filtration of ideals in A such that...
AbstractThis paper deals with local rings R possessing an m-canonical ideal ω, R⊆ω. In particular th...
AbstractLet (A,M) be a local Cohen–Macaulay ring of dimension d. Let I be an M-primary ideal and let...
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