| Let R be a commutative ring with unit. Let f(x) be a monic polynomial over R. S(f(x)) denotes the set of all homogeneous linear resurring sequences in R generated by f(x). S(f(x))S(g(x)) is defined to be the R-module spanned by all the products st, with s e S(f(x)), t ∈ S(g(x)). The object of this paper is to determine h(x) in R[x], such that S(f(x)S(g(x)) = S(h(x). When R is a field, we can furthermore give an explicit and computaionally feasible determination of h(x) such that S(h(x)) = S(f(x))S(g(x)). |
