TITLE:
Filtered Ring Derived from Discrete Valuation Ring and Its Properties
AUTHORS:
M. H. Anjom Shoa, M. H. Hosseini
KEYWORDS:
Commutative Ring; Valuation Ring; Discrete Valuation Ring; Filtered Ring; Graded Ring; Filtered Module; Graded Module
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.3,
March
28,
2014
ABSTRACT:
In this
paper we show that if R is a discrete valuation ring,
then R is a filtered ring. We prove some
properties and relation when R is a discrete
valuation ring.