Extending modules are generalizations of injective modules and, dually, lifting modules
generalize projective supplemented modules. There is a certain asymmetry in this duality …

It is well known that all projective modules over a perfect ring have the exchange property.
This was shown by Yamagata [32] and, independently, by Harada and Ishii [lo]. Provided …

This paper describes properties of three certain classes of modules M over a ring R
determined by conditions on isomorphic direct summands (≲⊕): The condition that …

This paper studies finitely generated projective modules over exchange rings. We prove that
cancellation holds in p (R), and K o (R) is completely determined by the continuous maps …

We prove that, for every regular ring R, there exists an isomorphism between the monoids of
isomorphism classes of finitely generated projective right modules over the rings EndR (R …

A ring A is an exchange ring if the following two equivalent conditions hold:(1) for any
element a∈ A, there exists an idempotent e∈ aA with 1− e∈(1− a) A;(2) for any element a∈ …

Stability Properties of Exchange Rings Page 1 Stability Properties of Exchange Rings Pere
Am Abstract We survey some recent results on exchange rings, with emphasis on stability …

Quasi‐projective modules and the finite exchange property Page 1 Internat. J. Math. & Math. Sci.
VOL. 12 NO. 4 (1989) 821-822 821 RESEARCH NOTES QUASI-PROJECTIVE MODULES AND …

In [2], J. Kado has studied simple directly finite regular rings satisfying the comparability
axiom, and completely determined the directly finiteness of projective modules over these …

Chapter 1 covers the background necessary for what follows. In particular, general
properties of injectivity and some of its well-known generalizations are stated. Chapter 2 is …