Structure and arithmetic of multivariate Ore extensions
André Leroy, Huda Merdach · Communications in Algebra · 2024
We give the basic structure of the multivariable Ore extensions S=A[t¯;σ,δ¯] introduced in the work of Martínez-Peñas and Kschischang. The Pseudo multilinear transformations (PMT’s) are introduced and correspond to modules over S. These maps are strongly connected to the evaluation of polynomials in S. A general product formula is obtained. PMT’s help to put some structure on the set of roots of a polynomial f(t)∈S.