Homological properties of balanced Cohen-Macaulay algebras
Author:
Izuru Mori
Journal:
Trans. Amer. Math. Soc. 355 (2003), 1025-1042
MSC (2000):
Primary 16W50, 16E05, 16E65, 16E10
DOI:
https://doi.org/10.1090/S0002-9947-02-03166-5
Published electronically:
October 24, 2002
MathSciNet review:
1938744
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: A balanced Cohen-Macaulay algebra is a connected algebra having a balanced dualizing complex
in the sense of Yekutieli (1992) for some integer
and some graded
-
bimodule
. We study some homological properties of a balanced Cohen-Macaulay algebra. In particular, we will prove the following theorem:
As a corollary, we will have the following characterizations of AS Gorenstein algebras and AS regular algebras:
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Additional Information
Izuru Mori
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Address at time of publication:
Department of Mathematics, Syracuse University, Syracuse, New York, 13244-1150
Email:
mori@math.purdue.edu, imori@syr.edu
DOI:
https://doi.org/10.1090/S0002-9947-02-03166-5
Received by editor(s):
October 10, 2001
Received by editor(s) in revised form:
February 5, 2002
Published electronically:
October 24, 2002
Article copyright:
© Copyright 2002
American Mathematical Society