Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
|
   
Available in electronic format
Available in print format
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Residues for Akizuki's one-dimensional local domain

Author(s): I-Chiau Huang; Jan-Li Lin
Journal: Proc. Amer. Math. Soc. 131 (2003), 2015-2020.
MSC (2000): Primary 13H10; Secondary 13D45
Posted: October 15, 2002
MathSciNet review: 1963744
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: For a one-dimensional local domain $C_M$ constructed by Akizuki, we find residue maps which give rise to a local duality. The completion of $C_M$ is described using these residue maps.


References:

1.
Y. Akizuki.
Einige Bemerkungen über primäre Integritätsbereiche mit Teilerkettensatz.
Proc. Phys.-Math. Soc. Japan, 17:327-336, 1935.

2.
I-C. Huang.
Pseudofunctors on modules with zero dimensional support.
Mem. Amer. Math. Soc., 114(548):xii+53, 1995. MR 95h:13013

3.
I-C. Huang.
Applications of residues to combinatorial identities.
Proc. Amer. Math. Soc., 125(4):1011-1017, 1997. MR 97f:05016
4.
I-C. Huang.
An explicit construction of residual complexes.
J. Algebra, 225(2):698-739, 2000. MR 2001c:14037
5.
I-C. Huang.
The residue theorem via an explicit construction of traces.
J. Algebra, 245(1):310-354, 2001.

6.
I-C. Huang.
Residue methods in combinatorial analysis.
In Local Cohomology and its Applications, volume 226 of Lecture Notes in Pure and Appl. Math., pages 255-342. Marcel Dekker, 2001.

7.
I. Kaplansky.
Commutative rings.
The University of Chicago Press, Chicago, Ill.-London, revised edition, 1974. MR 49:10674

8.
M. Reid.
Undergraduate commutative algebra.
Cambridge University Press, Cambridge, 1995. MR 98c:13001

9.
R. Y. Sharp and H. Zakeri.
Local cohomology and modules of generalized fractions.
Mathematika, 29(2):296-306 (1983), 1982. MR 85b:13035


Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 13H10, 13D45

Retrieve articles in all Journals with MSC (2000): 13H10, 13D45


Additional Information:

I-Chiau Huang
Affiliation: Institute of Mathematics, Academia Sinica, Nankang, Taipei 11529, Taiwan, Republic of China
Email: ichuang@math.sinica.edu.tw

Jan-Li Lin
Affiliation: Institute of Information Science, Academia Sinica, Nankang, Taipei 11529, Taiwan, Republic of China
Email: ljl@iis.sinica.edu.tw

DOI: 10.1090/S0002-9939-02-06827-2
PII: S 0002-9939(02)06827-2
Keywords: Gorenstein ring, injective hull, local duality, residue
Received by editor(s): February 11, 2002
Posted: October 15, 2002
Communicated by: Bernd Ulrich
Copyright of article: Copyright 2002, American Mathematical Society




AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia