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Criteria for Regular Local Rings
Received:May 16, 1994
Key Words
:
regular local ring, projective dimension, injective dimeston.
Fund Project
:
Author Name
Affiliation
Zhou Caijun
Dept
,
of Math.
,
Shanghai Normal Univ.
,
Shanghai 200234
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:
1968
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:
1111
Abstract
:
In this short paper,we note that a non-Artinian Noetherian local ring (A,m) is regular if and only if the projective dimension of A/m
n
or the injective dimension of m
n
is finite, where n is an arbitrary positive integers.
Citation:
DOI
:
10.3770/j.issn:1000-341X.1996.03.006
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