- International Electronic Journal of Algebra
- Vol: 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 : 6
Publication Date : 2010-12-01
Article Type : Other
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