On the matrix of rank one over a UFD

Document Type : Research Paper

Authors

Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O.Box 7718897111, Rafsanjan, Iran

Abstract

In this paper we characterize all matrices of rank one over a unique factorization domain (UFD). Also we find the Rmodule generated by the rows and the R-module generated by the columns of a matrix of rank one and assert some properties of them.

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References

[1] W. C. Brown, Matrices Over Commutative Rings, Pure Appl. Math., vol. 169, Marcel Dekker Inc., New York, 1993.
[2] W. C. Brown, Matrices and Vector Spaces, Marcel Dekker, New York, 1991.
[3] T. W. Hungerford, Algebra, Springer-Verlag, 1980.
[4] R. Y. Sharp, Steps in Commutative Algebra, Cambridge University Press, 1990.
Journal of Hyperstructures
Volume 5, Issue 1
June 2016
Pages 33-40

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