• APPLICATIONS OF COPRIME POLYNOMIALS TO THE EQUATIONS OF RANKS OF MATRIXES OVER SKEW FIELD
Abstract
In this paper, we use the relatively prime polynomial of rank identities of the product of matrix, and the method of constructing block matrix, and conducting elementary transformation, if we can add some constraints and transform the rank identities from the domain to the skew field, finally we get a series of the conclusion of the rank of matrices over skew field.
Keywords
skew field; coprime polynomials; equations of ranks.
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