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Abstract. This paper discusses a relationship between the prime factorizability of a normal full rank n-D ( n>2) polynomial matrix and its reduced minors.
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LINEAR ALGEBRA AND ITSAPPLICA~NS Editor-in-Chief Richard A. Brualdi and Hans Schneider Department of Mathematics, The University of Wisconsin, .Madison, Wisconsin 53706
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We further apply the construction to determine the binary quadratic nonsymmetric algebra, called the N-dendriform algebra, that is compatible with the Nijenhuis algebra. As it turns out, the N-dendriform algebra has more relations than the NS algebra.
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