IPM

“ Schools ”

Astronomy
Cognitive Sciences
Computer Science
Mathematics
Nano-Science
Particles and Accelerators
Philosophy
Physics

“ Centers and Units ”

GCG Computing Group
Information Center
Iranian Light Source Facility
Iranian National Observatory
IRNIC
Library
Network Center

“ Research Groups ”

Bioinformatics
Combinatorics and Computing
Commutative Algebra
Logic
IPM HPC Laboratory

“ Useful Links ”

Gallery of Visitors
Contact Us
Gallery of Photos

“ E-Services ”

Webmail
Official Automation System
Library
Telephone Book

“School of Mathematics”

Paper IPM / M / 88

School of Mathematics

Title:

A generalization of dualizing complex structure and its applications

Author(s):

1 .	M.T. Dibaei
2 .	M. Tousi

Status:

Published

Journal:

J. Pure Appl. Algebra

Vol.:

155

Year:

2001

Pages:

17-28

Supported by:

IPM

Abstract:

The structural property of dualizing complex is generalized and its applications to show that (1) over a ring possessing dualizing complex, the conditions of Serre on the canonical module are connected with the local cohomologies of the ring itself; (2) the Cousin complexes of certain modules over a ring possessing dualizing complex have finitely generated cohomologies; (3) a quotient of a Cohen-Macaulay local ring which satisfies (S₂) and admits canonical module, also possesses a dualizing complex.

Download TeX format