%0 Journal Article
%T Filtered Ring Derived from Discrete Valuation Ring and Its Properties
%A M. H. Anjom Shoa
%A M. H. Hosseini
%J Advances in Pure Mathematics
%P 71-75
%@ 2160-0384
%D 2014
%I Scientific Research Publishing
%R 10.4236/apm.2014.43011
%X <p class=\"MsoNormal\" style=\"text-align:justify;\">
	<span lang=\"EN-US\" style=\"font-family:Verdana;\">In this
paper we show that if </span><b><i><span lang=\"TR\" style=\"font-family:Verdana;\">R</span></i></b><span lang=\"EN-US\" style=\"font-family:Verdana;\"> is a discrete valuation ring,
then </span><b><i><span lang=\"TR\" style=\"font-family:Verdana;\">R</span></i></b><span lang=\"EN-US\" style=\"font-family:Verdana;\"> is a filtered ring. We prove some
properties and relation when </span><b><i><span lang=\"TR\" style=\"font-family:Verdana;\">R </span></i></b><span lang=\"EN-US\"><span style=\"font-family:Verdana;\">is a discrete
valuation ring.</span></span> 
</p>
%K Commutative Ring
%K Valuation Ring
%K Discrete Valuation Ring
%K Filtered Ring
%K Graded Ring
%K Filtered Module
%K Graded Module
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=44336