… finite-dimensional torsionless R-module, then E = Hom,(M, M) h as a semisimple (simple)
left quotient ring isomorphic to the ring E of Q-endomorphisms of the “quotient module” Q OR M…

… Artinian ring resp. Noetherian prime ring containing a right ideal whose endomorphism
ring … Let E denote the endomorphism ring of the left ,4-module AU*. Then we have a homo…

… Our aim in this section is to show that if M is a torsionless module with F(M) commutative, …
torsionless module. In this section we show that the endomorphism ring of this uniform module …

… Let M be a left ?-module and let S be the endomorph is^ ring of M. … exist if an only if M is
torsionless. Since a projective module is torsionless, these results generalize the theorerls in …

… In this note we first study those rings R … module is said to be torsionless if it is contained in
a direct product of copies of R. If M is a right R-module, we denote by M the torsionless module …

… ring 3 to be co-noetherian if every quotient of a fe module 1s fe (equivalently every fe module
is artinlan), Any ring i … fe module is noetherian is called a co-artlr-ian ring by KR Fuller [9]. In …

… If in addition, A is assumed to be torsionless, and we denote by E=E(A*, F) the image of E(F,
A) under the adjoint mapping, then (E, A*, F) is bimodule isomorphic to (E, Ee, eEe) in the …

… modular rings, which allows us to extend the description of these classes of endomorphism
rings … We recall that a module M is said to be U-torsionless if it embeds in a direct product of …

… if M is a torsionless module over a semiprime ring R and N~ R… the endomorphism ring of a
fg quasi-projective hollow module … any R-module N. When RM is fg quasi-projective, for any R-…

… We view Morita's Theorems and their generalizations as instructive examples of the interactions
between module structure, endomorphism rings, and modules over endomorphism rings…