CENTRALIZERS IN ORE EXTENSIONS OF POLYNOMIAL RINGS

Authors : Johan RİCHTER, Sergei SİLVESTROV

Pages : 196-207

Doi:10.24330/ieja.266247

View : 11 | Download : 10

Publication Date : 2014-06-01

Article Type : Research Paper

Abstract :In this paper, we consider centralizers of single elements in certain Ore extensions, with a non-invertible endomorphism, of the ring of polynomials in one variable over a field. We show that they are commutative and finitely generated as algebras. We also show that for certain classes of elements their centralizer is singly generated as an algebra.
Keywords : Ore extension, centralizer