|
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 constructed by Akizuki, we find residue maps which give rise to a local duality. The completion of 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
|