Residues for Akizuki’s one-dimensional local domain
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- by I-Chiau Huang and Jan-Li Lin PDF
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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
- Y. Akizuki. Einige Bemerkungen über primäre Integritätsbereiche mit Teilerkettensatz. Proc. Phys.-Math. Soc. Japan, 17:327–336, 1935.
- I-Chiau Huang, Pseudofunctors on modules with zero-dimensional support, Mem. Amer. Math. Soc. 114 (1995), no. 548, xii+53. MR 1239604, DOI 10.1090/memo/0548
- I-Chiau Huang, Applications of residues to combinatorial identities, Proc. Amer. Math. Soc. 125 (1997), no. 4, 1011–1017. MR 1401744, DOI 10.1090/S0002-9939-97-03923-3
- I-Chiau Huang, An explicit construction of residual complexes, J. Algebra 225 (2000), no. 2, 698–739. MR 1741558, DOI 10.1006/jabr.1999.8140
- I-C. Huang. The residue theorem via an explicit construction of traces. J. Algebra, 245(1):310–354, 2001.
- 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.
- Irving Kaplansky, Commutative rings, Revised edition, University of Chicago Press, Chicago, Ill.-London, 1974. MR 0345945
- Miles Reid, Undergraduate commutative algebra, London Mathematical Society Student Texts, vol. 29, Cambridge University Press, Cambridge, 1995. MR 1458066, DOI 10.1017/CBO9781139172721
- R. Y. Sharp and H. Zakeri, Local cohomology and modules of generalized fractions, Mathematika 29 (1982), no. 2, 296–306 (1983). MR 696885, DOI 10.1112/S0025579300012389
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
- MR Author ID: 711202
- Email: ljl@iis.sinica.edu.tw
- Received by editor(s): February 11, 2002
- Published electronically: October 15, 2002
- Communicated by: Bernd Ulrich
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 2015-2020
- MSC (2000): Primary 13H10; Secondary 13D45
- DOI: https://doi.org/10.1090/S0002-9939-02-06827-2
- MathSciNet review: 1963744