On the Betti numbers of perfect ideals
G. Valla (1994)
Compositio Mathematica
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G. Valla (1994)
Compositio Mathematica
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Santiago Zarzuela (1992)
Publicacions Matemàtiques
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In this note we give a description of a morphism related to the structure of the canonical model of the Rees algebra R(I) of an ideal I in a local ring. As an application we obtain Ikeda's criteria for the Gorensteinness of R(I) and a result of Herzog-Simis-Vasconcelos characterizing when the canonical module of R(I) has the expected form.
Aldo Conca, Jürgen Herzog (2003)
Collectanea Mathematica
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The Castelnuovo-Mumford regularity reg(M) is one of the most important invariants of a finitely generated graded module M over a polynomial ring R. For instance, it measures the amount of computational resources that working with M requires. In general one knows that the regularity of a module can be doubly exponential in the degrees of the minimal generators and in the number of the variables. On the other hand, in many situations one has or one conjectures a much better behavior. One...
Dalzotto, Giorgio, Sbarra, Enrico (2006)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Craig Huneke, Bernd Ulrich, Wolmer V. Vasconcelos (1992)
Compositio Mathematica
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R. Hübl, C. Huneke (2001)
Collectanea Mathematica
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Let (R,m) be a Noetherian local ring and let I C R be an ideal. This paper studies the question of when m I is integrally closed. Particular attention is focused on the case R is a regular local ring and I is a reduced ideal. This question arose through a question posed by Eisenbud and Mazur on the existence of evolutions.
Siamak Yassemi (1997)
Czechoslovak Mathematical Journal
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It is shown that for any Artinian modules , is the greatest integer such that .