Let denote the near-ring of congruence preserving functions of the group G. We investigate the question “When is a ring?”. We obtain information externally via the lattice structure of the normal subgroups of G and internally via structural properties of the group G.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.