THE RELATION BETWEEN QUASI VALUATION AND VALUATION RING AND FILTERED RING

Volume: 2 Number: 2 August 1, 2014
  • Mohammad Hassan Anjom Shoa
EN TR

THE RELATION BETWEEN QUASI VALUATION AND VALUATION RING AND FILTERED RING

Abstract

In this paper we show the relation between filtered ring and quasi valuation and valuation ring . We show if is a filtered ring then we can define a quasi valuation. And if is some kind of filtered ring then we can define a valuation. Then we prove some properties and relations for

Keywords

References

  1. F.R. Cohen , Aaron Heap , Alexandra Pettet On the Andreadakis–Johnson filtration of the automorphism group of a free group (Journal of Algebra 329 (2011) 72–91).
  2. N. S. Gopalakrishnan, Commutative algebra, oxonian press,1983.
  3. Algebras, Rings and Modules by Michiel Hazewinkel CWI, Amsterdam, The Netherlands Nadiya Gubareni Technical University of Czstochowa, Poland and V.V. KirichenkoKiev Taras Shevchenko University, Kiev, Ukraine KLUWER.
  4. T.Y. Lam , A First Course in Noncommutative Rings,Springer-Verlag ,1991.
  5. Koji Nishida On the depth of the associated graded ring of a filtration (Journal of Algebra 285 (2005) 182–195).
  6. G. Puninskia, V. Puninskayab, C. Toffalorib Decidability of the theory of modules over commutative valuation domains, Annals of Pure and Applied Logic, 145 (2007), (258 - 275).
  7. David E. Rush, Rees valuations and asymptotic primes of rational powers in Noetherian rings and lattices, Journal of Algebra, 308 (2007), (295 - 320).
  8. Paolo Zanardo, On _-closed Manis vluation rins,Communication in algebra, 18(3), 775-788(1990).

Details

Primary Language

Turkish

Subjects

-

Journal Section

-

Authors

Mohammad Hassan Anjom Shoa This is me

Publication Date

August 1, 2014

Submission Date

March 13, 2015

Acceptance Date

-

Published in Issue

Year 2014 Volume: 2 Number: 2

APA
Shoa, M. H. A. (2014). The relation between quasi valuation and valuation ring and filtered ring. New Trends in Mathematical Sciences, 2(2), 141-144. https://izlik.org/JA35XU42NN
AMA
1.Shoa MHA. The relation between quasi valuation and valuation ring and filtered ring. New Trends in Mathematical Sciences. 2014;2(2):141-144. https://izlik.org/JA35XU42NN
Chicago
Shoa, Mohammad Hassan Anjom. 2014. “The Relation Between Quasi Valuation and Valuation Ring and Filtered Ring”. New Trends in Mathematical Sciences 2 (2): 141-44. https://izlik.org/JA35XU42NN.
EndNote
Shoa MHA (August 1, 2014) The relation between quasi valuation and valuation ring and filtered ring. New Trends in Mathematical Sciences 2 2 141–144.
IEEE
[1]M. H. A. Shoa, “The relation between quasi valuation and valuation ring and filtered ring”, New Trends in Mathematical Sciences, vol. 2, no. 2, pp. 141–144, Aug. 2014, [Online]. Available: https://izlik.org/JA35XU42NN
ISNAD
Shoa, Mohammad Hassan Anjom. “The Relation Between Quasi Valuation and Valuation Ring and Filtered Ring”. New Trends in Mathematical Sciences 2/2 (August 1, 2014): 141-144. https://izlik.org/JA35XU42NN.
JAMA
1.Shoa MHA. The relation between quasi valuation and valuation ring and filtered ring. New Trends in Mathematical Sciences. 2014;2:141–144.
MLA
Shoa, Mohammad Hassan Anjom. “The Relation Between Quasi Valuation and Valuation Ring and Filtered Ring”. New Trends in Mathematical Sciences, vol. 2, no. 2, Aug. 2014, pp. 141-4, https://izlik.org/JA35XU42NN.
Vancouver
1.Mohammad Hassan Anjom Shoa. The relation between quasi valuation and valuation ring and filtered ring. New Trends in Mathematical Sciences [Internet]. 2014 Aug. 1;2(2):141-4. Available from: https://izlik.org/JA35XU42NN