JP Journal of Algebra, Number Theory and Applications
Volume 38, Issue 6, Pages 633 - 646
(December 2016) http://dx.doi.org/10.17654/NT038060633 |
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ON VALUATIONS OF VECTOR SPACES
Sri Efrinita Irwan, Hanni Garminia and Pudji Astuti
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Abstract: There is a strong interrelation between valuation rings and valuations of fields. Meanwhile, valuation rings have been generalized to modules. The purpose of this paper is to introduce valuations of vector spaces as generalization of valuations of fields. An interrelation between valuation modules and valuations of vector spaces is obtained. |
Keywords and phrases: valuation, discrete valuation, valuation ring, valuation module. |
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