Relative Buchsbaumness of bigraded modules

Keivan Borna; Ahad Rahimi; Syrous Rasoulyar

Colloquium Mathematicae (2012)

  • Volume: 127, Issue: 2, page 161-172
  • ISSN: 0010-1354

Abstract

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We study finitely generated bigraded Buchsbaum modules over a standard bigraded polynomial ring with respect to one of the irrelevant bigraded ideals. The regularity and the Hilbert function of graded components of local cohomology at the finiteness dimension level are considered.

How to cite

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Keivan Borna, Ahad Rahimi, and Syrous Rasoulyar. "Relative Buchsbaumness of bigraded modules." Colloquium Mathematicae 127.2 (2012): 161-172. <http://eudml.org/doc/283479>.

@article{KeivanBorna2012,
abstract = {We study finitely generated bigraded Buchsbaum modules over a standard bigraded polynomial ring with respect to one of the irrelevant bigraded ideals. The regularity and the Hilbert function of graded components of local cohomology at the finiteness dimension level are considered.},
author = {Keivan Borna, Ahad Rahimi, Syrous Rasoulyar},
journal = {Colloquium Mathematicae},
keywords = {Buchsbaum; bigraded modules; local cohomology; regularity; Hilbert functions},
language = {eng},
number = {2},
pages = {161-172},
title = {Relative Buchsbaumness of bigraded modules},
url = {http://eudml.org/doc/283479},
volume = {127},
year = {2012},
}

TY - JOUR
AU - Keivan Borna
AU - Ahad Rahimi
AU - Syrous Rasoulyar
TI - Relative Buchsbaumness of bigraded modules
JO - Colloquium Mathematicae
PY - 2012
VL - 127
IS - 2
SP - 161
EP - 172
AB - We study finitely generated bigraded Buchsbaum modules over a standard bigraded polynomial ring with respect to one of the irrelevant bigraded ideals. The regularity and the Hilbert function of graded components of local cohomology at the finiteness dimension level are considered.
LA - eng
KW - Buchsbaum; bigraded modules; local cohomology; regularity; Hilbert functions
UR - http://eudml.org/doc/283479
ER -

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