Continuous and discrete modules are, essentially, generalizations of infective and projective
modules respectively. Continuous modules provide an appropriate setting for decomposition …

This book is an account of a certain portion of noncommutative ring theory which originated
in the work of RE Johnson [113, 115], who introduced nonsingular rings, in 1951, and …

The themes of cancellation, internal cancellation, substitution and exchange have led to a lot
of interesting research in the theory of modules over commutative and noncommutative …

We reprove that any injective module has a direct decomposition into a directly finite and a
purely infinite part ([8], Theorem 6), and we show that this decomposition has a strong …

In this paper we shall present a property (cohopfian) which is equivalent to the cancellation
property for quasi-injective modules. Several conditions are given which imply that a quasi …

A functorial method is described by which certain problems can be transferred from quasi-
injective modules to nonsingular injective modules. Applications include the uniqueness of …

On the generalizations of injectivity Page 1 COMMUNICATIONS IN ALGEBRA, 16(3), 483-691
(1988) ON THE GENERALIZATIONS OF INJECTIVITY MS Li and J. M. Zelmanowitz Department …

A module M is skew-injective if each endomorphism of any submodule of M can be
extended to an endomorphism of M. A module M is called in~ egrally closed if all …

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