J. Moghaderi, R. Nekooei

VALUATION, DISCRETE VALUATION AND DEDEKIND MODULES

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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Department of Mathematics Hormozgan University Iran e-mail: j.moghaderi@yahoo.com R. Nekooei Department of Mathematics Shahid Bahonar University of Kerman Iran e-mail: rnekooei@mail.uk.ac.ir