VALUATION, DISCRETE VALUATION AND DEDEKIND MODULES

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International Electronic Journal of Algebra
Volume:8 Issue:8
VALUATION, DISCRETE VALUATION AND DEDEKIND MODULES

VALUATION, DISCRETE VALUATION AND DEDEKIND MODULES

Authors : J Moghaderi, R Nekooei

Pages : 18-29

View : 11 | Download : 8

Publication Date : 2010-12-01

Article Type : Research Paper

Abstract :The purpose of this paper is to introduce valuation and discrete valuation modules over an integral domain. Some basic results and characterizations are obtained and these results are used to characterizeDedekind multiplication modules with discrete multiplication valuation modules.
Keywords : multiplication module, Dedekind module, prime submodule, valuation, discrete valuation, fractional submodule

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