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

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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