VALUATION ON A FILTERED MODULE

Authors

  • Mohammad Hassan Anjom SHoa Uinversity of Birjand
  • Mohammad Hossein Hosseini University of Birjand

DOI:

https://doi.org/10.21015/vtm.v3i2.150

Abstract

In this paper we show if R is a filtered ring and M a filtered
R module then we can define a valuation on a module for M. Then
we show that we can find an skeleton of valuation on M, and we prove some properties such that derived form it for a filtered module.

References

J. Alajbegovic, Approximation theorems for Manis valuations with the

inverse, (1984). property. Comm. Algebra 12:13991417.

M. F. Atiyah, I. G. Macdonald, Introduction to Commutative Algebra.

Massachusetts:(1969). Addison-Wesley.N.

O. Endler, Valuation Theory. New York: Springer-Verlag.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.(1972).

Fuchs, L. Partially Ordered Algebraic Systems. New York: Pergammon

Press.S.(1963).

Gopalakrishnan, Commutative algebra,oxonian press,1983.

Z. Guangxing, Valuations on a Module, Communications in Algebra,

-2356, 2007.

Huckaba, J. A. Commutative Rings with Zero Divisors. New York: Marcel

Dekker, Inc.(1988).

T.Y. Lam , A First Course in Noncommutative Rings,Springer-Verlag

,1991.

C. P. Lu, Spectra of modules. Comm. Algebra 175:37413752. (1995).

O. F. G. Schilling, The Theory of Valuations. New York: Amer. Math.

Soc. (1952).

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Published

2015-12-26

How to Cite

Anjom SHoa, M. H., & Hosseini, M. H. (2015). VALUATION ON A FILTERED MODULE. VFAST Transactions on Mathematics, 3(1), 47–53. https://doi.org/10.21015/vtm.v3i2.150

Issue

Vol. 3 No. 1 (2015): January-December

Section

Articles

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