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The Auslander-Reiten conjecture for Gorenstein rings
Author(s):
Tokuji
Araya
Journal:
Proc. Amer. Math. Soc.
137
(2009),
1941-1944.
MSC (2000):
Primary 13H10, 13D02, 13D07
Posted:
December 17, 2008
MathSciNet review:
2480274
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Abstract:
The Nakayama conjecture is one of the most important conjectures in ring theory. The Auslander-Reiten conjecture is closely related to it. The purpose of this paper is to show that if the Auslander-Reiten conjecture holds in codimension one for a commutative Gorenstein ring  , then it holds for  .
References:
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Additional Information:
Tokuji
Araya
Affiliation:
Nara University of Education, Takabatake-cho, Nara City 630-8528, Japan
Email:
araya@math.okayama-u.ac.jp
DOI:
10.1090/S0002-9939-08-09757-8
PII:
S 0002-9939(08)09757-8
Keywords:
Auslander-Reiten conjecture,
Gorenstein ring,
stable cohomology module
Received by editor(s):
April 28, 2008,
Received by editor(s) in revised form:
August 25, 2008
Posted:
December 17, 2008
Communicated by:
Bernd Ulrich
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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