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Refined multiplicative tensor product of matrix factorizations

JOURNAL OF PURE AND APPLIED ALGEBRA (2024)

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On tensor products of matrix factorizations

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Summary: This paper introduces the concepts of tensor product and multiplicative tensor product of matrix factorizations, and explores their properties. Several variants of Yoshino's tensor product are also introduced. Finally, by combining the multiplicative tensor product with the standard algorithm, an improved version of the factoring algorithm is provided for the class of summand-reducible polynomials.

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