On GCED Matrices over U.F.Ds

Haissam Y Chehade, Wiam M Zeid, Fatima M Rasheed


An extension of the GCED matrices from the classical domain of natural integers to unique factorization domains is given. The structure of these type of matrices defined on both arbitrary and GCED-closed sets are presented. Moreover, determinantal arguments and the inverse of such matrices are given. The domains of Gaussian integers and polynomials defined over finite fields are used to illustrate the work.


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