Let R be an arbitrary ring with identity and M be a right R-modulewith S= End (MR). Let f∈ S.
f is called π-morphic if M/fn (M)∼= r M (fn) for some positive integer n. A module M is called …

The Faith conjecture asserts that a semiprimary, right self-injective ring is quasi-Frobenius
(QF). This paper is a compendium of results (without proof) relating to the conjecture, usually …