On the matrix of rank one over a UFD

	On the matrix of rank one over a UFD
Journal of Hyperstructures
دوره 5، شماره 1، شهریور 2016، صفحه 33-40 اصل مقاله (95.35 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22098/jhs.2016.2652
نویسندگان
Somayeh Hadjirezaei^* ؛ Somayeh Karimzadeh
Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O.Box 7718897111, Rafsanjan, Iran
چکیده
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.
کلیدواژه‌ها
unique factorization domain؛ rank of a matrix؛ irreducible element

مراجع
[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.
آمار تعداد مشاهده مقاله: 169 تعداد دریافت فایل اصل مقاله: 167

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