HOMOGENEOUS FUNCTIONS DETERMINED BY CYCLIC SUBMODULES
C. J. Maxson, J. H. Meyer · Quaestiones Mathematicae · 1998
For a unital module V over a commutative ring R, let C denote the collection of cyclic submodules. The ring ϵR(V;C) = {f ε EndR V |f(C) ⊆C, ∀C εR (V;C) has been the object of several recent studies in which the structure of ϵR(V;C) is related to the triple (V, R,C). Here we introduce a new ring HR(V;C) containing ϵ(V;C) and investigate its structure in terms of the parameters (V, R, C).