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On a class of coherent regular rings
Author(s):
Christel
Rotthaus;
Liana
M.
Sega
Journal:
Proc. Amer. Math. Soc.
135
(2007),
1631-1640.
MSC (2000):
Primary 13E15, 13C10, 13D02
Posted:
December 29, 2006
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Abstract:
The paper investigates a special class of quasi-local rings. It is shown that these rings are coherent and regular in the sense that every finitely generated submodule of a free module has a finite free resolution.
References:
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- 1.
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- 2.
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- 3.
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- 4.
- W. Heinzer, C. Rotthaus, S. Wiegand, Examples of integral domains inside power series rings, Commutative Ring Theory and Applications, Proceedings of the Fourth Conference on Commutative Ring Theory and Applications, Fez, Morocco, Marcel Dekker, 2003. MR 2029829 (2004k:13037)
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Additional Information:
Christel
Rotthaus
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
Email:
rotthaus@math.msu.edu
Liana
M.
Sega
Affiliation:
Department of Mathematics and Statistics, University of Missouri, Kansas City, Missouri 64110-2499
Email:
segal@umkc.edu
DOI:
10.1090/S0002-9939-06-08679-5
PII:
S 0002-9939(06)08679-5
Keywords:
Coherent rings,
regular rings,
modules of finite presentation
Received by editor(s):
September 19, 2005
Received by editor(s) in revised form:
February 10, 2006
Posted:
December 29, 2006
Communicated by:
Bernd Ulrich
Copyright of article:
Copyright
2006,
American Mathematical Society
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