p-embeddings

This is the sequel to Bhattacharjee et al. (in press) [3] where the notion of a p-extension of commutative rings was investigated: a unital extension of commutative rings, say R ↪ S , is a p-extension if for every s ∈ S there is an r ∈ R such that r S = s S . In this article we apply the theory of p-extensions to rings of continuous functions. We show that this concept lays between the concepts of C ⁎ -embeddings and z-embeddings.