Abstract
In this article, we study the field of rational constants and Darboux polynomials of a generalized cyclotomic K-derivation d of K[X]. It is shown that d is without Darboux polynomials if and only if $$K(X)^d=K$$ . The result is also studied in the tensor product of polynomial algebras.
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Schedule a callMore From: Proceedings of the Indian Academy of Sciences - Section A
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