Algebraic shifting and sequentially Cohen-Macaulay simplicial complexes.
Duval, Art M. (1996)
The Electronic Journal of Combinatorics [electronic only]
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Duval, Art M. (1996)
The Electronic Journal of Combinatorics [electronic only]
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Mark Johnson, Bernd Ulrich (1996)
Compositio Mathematica
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Olga Lavila-Vidal, Santiago Zarzuela (1998)
Collectanea Mathematica
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Alexander MacAulay
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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.
Judith D. Sally (1980)
Compositio Mathematica
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Nagel, U., Migliore, J.C. (2001)
Rendiconti del Seminario Matematico
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Berglund, Alexander (2009)
The Electronic Journal of Combinatorics [electronic only]
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Edgar E. Enochs, Jenda M. G. Overtoun (1994)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we use a characterization of -modules such that to characterize Cohen-Macaulay rings in terms of various dimensions. This is done by setting to be the local cohomology functor of with respect to the maximal ideal where is the Krull dimension of .