Introduction to Ring Theory
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Beschreibung
Most parts of algebra have undergone great changes and advances in recent years, perhaps none more so than ring theory. In this volume, Paul Cohn provides a clear and structured introduction to the subject.
After a chapter on the definition of rings and modules there are brief accounts of Artinian rings, commutative Noetherian rings and ring constructions, such as the direct product. Tensor product and rings of fractions, followed by a description of free rings. The reader is assumed to have a basic understanding of set theory, group theory and vector spaces. Over two hundred carefully selected exercises are included, most with outline solutions.
Paul Cohn is a well-known expositor and expert in the field This book follows on from the SUMS book "Groups, Rings and Fields" by David Wallace Includes supplementary material: sn.pub/extras
This book covers the basic material of ring theory for an advanced course
in algebra. It is suitable for advanced
undergraduate students in the 3rd or 4th year of a degree course.
Autor*in
Paul M. Cohn
Themen in »Introduction to Ring Theory«
Group theory SUMS Vector space algebra ring theory