This book has two predominant objectives. On the one hand, the fundamental concepts of
the theory of modules and rings are presented, for which the presentation is set out in detail …

Module theory is an important tool for many different branches of mathematics, as well as
being an interesting subject in its own right. Within module theory, the concept of injective …

The term The Theory of Rings seems first used as title of a book by Jacobson [43], and in his
preface Jacobson asserts that the theory that forms the subject of the book had its beginning …

A ring is called quasi-Frobenius if it is right or left selfinjective, and right or left artinian (all
four combinations are equivalent). The study of these rings grew out of the theory of …

Page 1 Modern Birkhäuser Classics Alberto Facchini Module Theory Endomorphism rings and
direct sum decompositions in some classes of modules S. Birkhäuser Page 2 US Birkhäuser …

Since the discovery of the existence of the injective hull of an arbitrary module
independently in 1952 by Shoda and in 1953 by Eckmann and Schopf, there have been …

Zelmanowitz 12 introduced the concept of ring, which we call right zip rings, with the defining
properties below, which are equivalent:(ZIP 1) If the right annihilator X⊥ of a subset X of R is …

Associative rings that possess Morita dualities or self-dualities form the object of this book.
They are assumed to have an identity and modules are assumed unitary. The book sets out …

First published in 1982. These lectures are in two parts. Part I, entitled injective Modules
Over Levitzki Rings, studies an injective module E and chain conditions on the set A^(E, R) …

Theorems of Osofsky and Kato imply that a right and left self-injective one-sided perfect ring
is quasi-Frobenius (= QF). The corresponding question for one-sided self-injective one or …