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Joint reductions of complete ideals

Published online by Cambridge University Press:  22 January 2016

J. K. Verma*
Affiliation:
Department of Mathematics, Indian Institute of Technology, Powai, Bombay-400076, India
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The aim of this paper is to extend and unify several results concerning complete ideals in 2-dimensional regular local rings by using the theory of joint reductions and mixed multiplicities. The theory of complete ideals in a 2-dimensional regular local ring was developed by Zariski in his 1938 paper [Z]. This theory is presented in a simpler and general form in [ZS, Appendix 5] and [H2].

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1990