AbstractWe establish a uniform bound for the Castelnuovo–Mumford regularity of associated graded rings of parameter ideals in a generalized Cohen–Macaulay ring. As consequences, we obtain uniform bounds for the relation type and the postulation number. Moreover, we show that generalized Cohen–Macaulay rings can be characterized by the existence of such uniform bounds
AbstractWe study the relationship between the Tor-regularity and the local-regularity over a positiv...
AbstractLet R be a local Cohen–Macaulay ring, let I be an R-ideal, and let G be the associated grade...
This dissertation is about some aspects of commutative algebra. Two main themes are developed: exten...
AbstractWe establish a uniform bound for the Castelnuovo–Mumford regularity of associated graded rin...
AbstractSuppose G is a standard graded ring over an infinite field. We obtain a sharp lower bound fo...
This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9939-1995-123130...
In this article we extend a previous definition of Castelnuovo–Mumford regularity for modules over a...
Suppose G is a standard graded ring over an infinite field, with positively graded piece G+. From th...
AbstractA bound is given for the Castelnuovo–Mumford regularity of initial ideals of a homogeneous i...
AbstractThe graded modules over noncommutative algebras often have minimal free resolutions of infin...
AbstractThis paper studies Frobenius powers of parameter ideals in a commutative Noetherian local ri...
We give an effective uniform bound on the multigraded regularity of a subscheme of a smooth project...
5 pagesWe give a bound on the Castelnuovo-Mumford regularity of a homogeneous ideals I, in a polynom...
AbstractLet I be a homogeneous ideal of the polynomial ring K[x0,…,xn], where K is an arbitrary fiel...
AbstractWe give two kinds of bounds for the Castelnuovo–Mumford regularity of the canonical module a...
AbstractWe study the relationship between the Tor-regularity and the local-regularity over a positiv...
AbstractLet R be a local Cohen–Macaulay ring, let I be an R-ideal, and let G be the associated grade...
This dissertation is about some aspects of commutative algebra. Two main themes are developed: exten...
AbstractWe establish a uniform bound for the Castelnuovo–Mumford regularity of associated graded rin...
AbstractSuppose G is a standard graded ring over an infinite field. We obtain a sharp lower bound fo...
This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9939-1995-123130...
In this article we extend a previous definition of Castelnuovo–Mumford regularity for modules over a...
Suppose G is a standard graded ring over an infinite field, with positively graded piece G+. From th...
AbstractA bound is given for the Castelnuovo–Mumford regularity of initial ideals of a homogeneous i...
AbstractThe graded modules over noncommutative algebras often have minimal free resolutions of infin...
AbstractThis paper studies Frobenius powers of parameter ideals in a commutative Noetherian local ri...
We give an effective uniform bound on the multigraded regularity of a subscheme of a smooth project...
5 pagesWe give a bound on the Castelnuovo-Mumford regularity of a homogeneous ideals I, in a polynom...
AbstractLet I be a homogeneous ideal of the polynomial ring K[x0,…,xn], where K is an arbitrary fiel...
AbstractWe give two kinds of bounds for the Castelnuovo–Mumford regularity of the canonical module a...
AbstractWe study the relationship between the Tor-regularity and the local-regularity over a positiv...
AbstractLet R be a local Cohen–Macaulay ring, let I be an R-ideal, and let G be the associated grade...
This dissertation is about some aspects of commutative algebra. Two main themes are developed: exten...
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