1Faculty of Mathematical Sciences and Computer Science Tarbiat Moallem University Tehran, Iran and School of Mathematics Institute for Research in Fundamental Sciences (IPM) P.O. Box 19395-5746 Tehran, Iran 2Department of Mathematics Razi University Kermanshah, Iran and School of Mathematics Institute for Research in Fundamental Sciences (IPM) P.O. Box 19395-5746 Tehran, Iran 3Department of Mathematics Razi University Kermanshah, Iran
Colloquium Mathematicum, Tome 127 (2012) no. 2, pp. 161-172
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.
Keywords:
study finitely generated bigraded buchsbaum modules standard bigraded polynomial ring respect irrelevant bigraded ideals regularity hilbert function graded components local cohomology finiteness dimension level considered
1
Faculty of Mathematical Sciences and Computer Science Tarbiat Moallem University Tehran, Iran and School of Mathematics Institute for Research in Fundamental Sciences (IPM) P.O. Box 19395-5746 Tehran, Iran
2
Department of Mathematics Razi University Kermanshah, Iran and School of Mathematics Institute for Research in Fundamental Sciences (IPM) P.O. Box 19395-5746 Tehran, Iran
3
Department of Mathematics Razi University Kermanshah, Iran
@article{10_4064_cm127_2_2,
author = {Keivan Borna and Ahad Rahimi and Syrous Rasoulyar},
title = {Relative {Buchsbaumness} of bigraded modules},
journal = {Colloquium Mathematicum},
pages = {161--172},
year = {2012},
volume = {127},
number = {2},
doi = {10.4064/cm127-2-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm127-2-2/}
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TY - JOUR
AU - Keivan Borna
AU - Ahad Rahimi
AU - Syrous Rasoulyar
TI - Relative Buchsbaumness of bigraded modules
JO - Colloquium Mathematicum
PY - 2012
SP - 161
EP - 172
VL - 127
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4064/cm127-2-2/
DO - 10.4064/cm127-2-2
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