University of Mohaghegh Ardabili Journal of Hyperstructures 2251-8436 5 1 2016 06 01 On the matrix of rank one over a UFD 33 40 2652 10.22098/jhs.2016.2652 EN Somayeh Hadjirezaei Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O.Box 7718897111, Rafsanjan, Iran Somayeh Karimzadeh Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O.Box 7718897111, Rafsanjan, Iran Journal Article 2015 12 22 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. unique factorization domain rank of a matrix irreducible element https://jhs.uma.ac.ir/article_2652_09fc08ab19bd02f5be2dd9872ad3c69b.pdf