Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2018; 33(4): 1049-1053

Online first article June 18, 2018      Printed October 31, 2018

https://doi.org/10.4134/CKMS.c170370

Copyright © The Korean Mathematical Society.

Equidimensional local rings with finite Cousin cohomology modules

Alireza Vahidi

Payame Noor University (PNU)

Abstract

It is shown that any equidimensional local ring which has finite Cousin cohomology modules with respect to the dimension filtration has a uniform local cohomological annihilator and is universally catenary.

Keywords: Cousin complexes, equidimensional local rings, local cohomology modules, universally catenary rings

MSC numbers: 13D02, 13D45

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