Bounds for the regularity of local cohomology of bigraded modules

Herzog, Jürgen; Rahimi, Ahad

doi:10.1007/s13366-012-0135-1

Beitr Algebra Geom

2012

DOI: 10.1007/s13366-012-0135-1

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Bounds for the regularity of local cohomology of bigraded modules

Jürgen Herzog

Ahad Rahimi

Abstract: Let M be a finitely generated bigraded module over the standard

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Sequentially generalized Cohen–Macaulayness of bigraded modules

Noormohammadi

Rahimi

2015

J. Algebra Appl.

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Let S = K[x1,…,xm, y1,…,yn] be the standard bigraded polynomial ring over a field K, and M a finitely generated bigraded S-module. In this paper we study the generalized Cohen–Macaulayness and sequentially generalized Cohen–Macaulayness of M with respect to Q = (y1,…,yn). We prove that if I ⊆ S be a monomial ideal with cd (Q, S/I) ≤ 2, then S/I is sequentially generalized Cohen–Macaulay with respect to Q.

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Sequentially generalized Cohen–Macaulayness of bigraded modules

Noormohammadi

Rahimi

2015

J. Algebra Appl.

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Bounds for the regularity of local cohomology of bigraded modules

Abstract: Let M be a finitely generated bigraded module over the standard

Cited by 1 publication

References 7 publications

Sequentially generalized Cohen–Macaulayness of bigraded modules

Sequentially generalized Cohen–Macaulayness of bigraded modules

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