  Polynomial composites were introduced by Anderson, Anderson, and Zafrullah.
Over time, composites have appeared in many different papers, but they have not
been sorted out in the algebra world. This paper is another part of the study
of composites as an algebraic structure. In this paper we complete possible
properties for polynomial composites as ACCP, atomic, BFD, HFD, idf, FFD
domains. In a separate section, we consider polynomial composites as Dedekind
rings.
