VALUATION, DISCRETE VALUATION AND DEDEKIND MODULES

Yıl 2010, Cilt: 8 Sayı: 8, 18 - 29, 01.12.2010

J. Moghaderi R. Nekooei

Öz

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.

Anahtar Kelimeler

multiplication module, Dedekind module, prime submodule, valuation, discrete valuation, fractional submodule

Kaynakça

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• Department of Mathematics Hormozgan University Iran e-mail: [e-mail] R. Nekooei Department of Mathematics Shahid Bahonar University of Kerman Iran e-mail: [e-mail]