Exponents of skew polynomials over periodic rings
A. Djamel Bouzidi, Ahmed Cherchem, André Leroy · Communications in Algebra · 2020
We investigate the properties of periodic rings R in view of studying general skew polynomials f(t)∈R[t;σ,δ]. We introduce exponents for these polynomials and give some properties of this notion. We show, in particular, that this notion is right-left symmetric. Using the skew evaluation, we generalize the classical connection between the exponent of a polynomial and the order of its companion matrix.