Geodesic
On GCED matrices over UFDs
Filomat, Tome 36 (2022) no. 11, p. 3775

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DOI

An extension of the GCED matrices from the domain of natural integers to the unique factorization domain is given. The structure of these type of matrices defined on both arbitrary sets and GCED-closed sets are presented. Moreover, we present exact expressions for the determinant and the inverse of such matrices. The domains of Gaussian integers and polynomials over finite fields are used to illustrate the work.
DOI : 10.2298/FIL2211775Z
Classification : 11A25, 15A09, 15A15, 15A23
Keywords: Exponential Divisor, GCED Closed Set, GCED Matrix, Unique Factorization Domain 
W Zeid; H Chehade; F Rasheed. On GCED matrices over UFDs. Filomat, Tome 36 (2022) no. 11, p. 3775 . doi: 10.2298/FIL2211775Z
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     author = {W Zeid and H Chehade and F Rasheed},
     title = {On {GCED} matrices over {UFDs}},
     journal = {Filomat},
     pages = {3775 },
     year = {2022},
     volume = {36},
     number = {11},
     doi = {10.2298/FIL2211775Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2211775Z/}
}
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