Factorial Rings and Diagonal Reduction of Matrices
نویسندگان
چکیده
The class of Bézout factorial rings is introduced and characterized. Using the factorial properties of such a ring R, and given a n×m matrix A over R, we find P ∈ GL(n, R) and Q ∈ GL(m, R) such that PAQ is diagonal with every element in the diagonal dividing the following one. Key-words: Ring, Bézout, principal, factorization, reduction of matrices.
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