منابع مشابه
Cohen–Macaulayness of Tensor Product
Let (R,m) be a commutative Noetherian local ring. Suppose that M and N are finitely generated modules over R such that M has finite projective dimension and such that TorRi (M,N) = 0 for all i > 0. The main result of this note gives a condition on M which is necessary and sufficient for the tensor product of M and N to be a Cohen–Macaulay module over R, provided N is itself a Cohen–Macaulay mod...
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We give a criterion for checking the Cohen-Macaulayness of the tangent cone of a monomial curve by using the Gröbner basis. For a family of monomial curves, we give the full description of the defining ideal of the curve and its tangent cone at the origin. By using this family of curves and their extended versions to higher dimensions, we prove that the minimal number of generators of a Cohen-M...
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We provide the sufficient conditions for Rees algebras of modules to be Cohen-Macaulay, which has been proven in the case of Rees algebras of ideals in [11] and [4]. As it turns out the generalization from ideals to modules is not just a routine generalization, but requires a great deal of technical development. We use the technique of generic Bourbaki ideals introduced by Simis, Ulrich and Vas...
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In this paper we study the local cohomology of all finitely generated bigraded modules over a standard bigraded polynomial ring which have only one nonvanishing local cohomology with respect to one of the irrelevant bigraded ideals.
متن کاملMoment angle complexes andbig Cohen–Macaulayness
Let ZK C be the moment angle complex associated to a simplicial complex K on Œm , together with the natural action of the torus T D U.1/ . Let G T be a (possibly disconnected) closed subgroup and R WD T=G . Let ZŒK be the Stanley– Reisner ring of K and consider ZŒR WD H .BRIZ/ as a subring of ZŒT WD H .BTIZ/ . We prove that H G .ZK IZ/ is isomorphic to Tor ZŒR .ZŒK;Z/ as a graded module...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2004
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181069900