Aleks Kleyn
Abstract
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In the paper I considered algebra of polynomials over associative D-algebra with unit. Using the tensor notation allows to simplify the representation of polynomial. I considered questions related to divisibility of polynomial of any power over polynomial of power 1.
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In the paper I considered algebra of polynomials over associative D-algebra with unit. Using the tensor notation allows to simplify the representation of polynomial. I considered questions related to divisibility of polynomial of any power over polynomial of power 1.
Key concepts: Polynomial, Mathematics, Algebra over a field, Divisibility rule, Matrix polynomial, Reciprocal polynomial, Associative property, Square-free polynomial