On generalized cyclotomic derivations

2022/02/17 by Gupta, Sakshi, Kour, Surjeet
#12H05 #13N15 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2202.08760

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. Result is also studied in the tensor product of polynomial algebras.

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