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Gabriel topologies on Dubrovin valuation rings

Published online by Cambridge University Press:  25 July 2002

Hidetoshi Marubayashi  and
Yang Zhang
Hidetoshi Marubayashi
Affiliation:
Department of Mathematics, Naruto University of Education, Naruto, Tokushima, Japan, 772-8502 e-mail: marubaya@naruto-u.ac.jp
Yang Zhang
Affiliation:
Department of Applied Mathematics, University of Western Ontario, London, ON, Canada, N6A 5B7 e-mail: yzhang26@uwo.ca
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All the Gabriel topologies on a Dubrovin valuation ring are classified in terms of its prime ideals. Furthermore, these Gabriel topologies are cogenerated by two kinds of indecomposable injective modules.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 43 , Issue 3 , May 2001 , pp. 317 - 325
Copyright
2001 Glasgow Mathematical Journal Trust