This book is the first monograph on the theory of endomorphism
rings of Abelian groups. The theory is a rapidly developing area of
algebra and has its origin in the theory of operators of vector
spaves. The text contains additional information on groups
themselves, introducing new concepts, methods, and classes of
groups. All the main fields of the theory of endomorphism rings of
Abelian groups from early results to the most recent are covered.
Neighbouring results on endomorphism rings of modules are also
mentioned.
This text has many pedagogical features:
-all the necessary definitions and formulations of assertions on
Abelian groups, rings, and modules are gathered in the first two
sections;
-each chapter begins with a brief summary of results;
-there are exercises of varying difficulty in each section;
-lesser known facts on rings and modules are presented with
proofs;
-there are comments at the end of each chapter together with a
brief historical review as well as a look at the future direction
of modern research;
-an extensive bibliography is provided. This book will be
invaluable as a background text for introductory as well as
advanced graduate courses. Professional algebraists might find it
useful as a first systematic presentation of results previously
only to be found scattered throughout various journals.
General
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