Filtered Ring Derived from Discrete Valuation Ring and Its Properties - Advances in Pure Mathematics

APM > Vol.4 No.3, March 2014

Advances in Pure Mathematics

Volume 4, Issue 3 (March 2014)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.50 Citations h5-index & Ranking

Filtered Ring Derived from Discrete Valuation Ring and Its Properties ()

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DOI: 10.4236/apm.2014.43011 6,609 Downloads 10,315 Views Citations

Author(s)

M. H. Anjom Shoa, M. H. Hosseini

Affiliation(s)

University of Birjand, Birjand, Iran.

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.

KEYWORDS

Commutative Ring; Valuation Ring; Discrete Valuation Ring; Filtered Ring; Graded Ring; Filtered Module; Graded Module

Share and Cite:

Shoa, M. and Hosseini, M. (2014) Filtered Ring Derived from Discrete Valuation Ring and Its Properties. Advances in Pure Mathematics, 4, 71-75. doi: 10.4236/apm.2014.43011.

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