Abstract

A corpid is a ring (K, + , ∙), different from zero, such that (K, ∙) is an inverse semigroup. We prove a characterization of corpids, some remarkable results about the lattice of the idempotents and other results concerning the idempotents and the zero divisors of a corpid. Finally, we are studiyng a notable set of ideals of corpids through which we study the endomorfisms of a corpid.