Fields and Rings

By: Irving Kaplansky

Write A Review

Paperback | 27 February 1995 | Edition Number 2

At a Glance

Paperback
207 Pages

Edition Type
Revised

Dimensions(cm)
2.03 x 1.33 x 0.14

Paperback

RRP $65.95

$53.75

18%OFF

or 4 interest-free payments of $13.44 with

Ships in 5 to 7 business days

This book combines in one volume Irving Kaplansky's lecture notes on the theory of fields, ring theory, and homological dimensions of rings and modules.

"In all three parts of this book the author lives up to his reputation as a first-rate mathematical stylist. Throughout the work the clarity and precision of the presentation is not only a source of constant pleasure but will enable the neophyte to master the material here presented with dispatch and ease."â"A. Rosenberg, Mathematical Reviews

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Algebra Miscellaneous Items

Preface
Fields
Field extensions
Ruler and compass constructions
Foundations of Galois theory
Normality and stability
Splitting fields
Radical extensions
The trace and norm theorems
Finite fields
Simple extensions
Cubic and quartic equations
Separability
Miscellaneous results on radical extensions
Infinite algebraic extensions
Rings
The radical
Primitive rings and the density theorem
Semi-simple rings
The Wedderburn principal theorem
Theorems of Hopkins and Levitzki
Primitive rings with minimal ideals and dual vector spaces
Simple rings
Homological Dimension
Dimension of modules
Global dimension
First theorem on change of rings
Polynomial rings
Second theorem on change of rings
Third theorem on change of rings
Localization
Preliminary lemmas
A regular ring has finite global dimension
A local ring of finite global dimension is regular
Injective modules
The group of homomorphisms
The vanishing of Ext
Injective dimension
Notes
Index
Table of Contents provided by Publisher. All Rights Reserved.

Fields and Rings

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Mathematics

How to Win At Chess

The Ultimate Guide for Beginners and Beyond

The Art of Gathering

How We Meet and Why It Matters

The Infinite Game

From the bestselling author of Start With Why

Collins Classics - The Republic

Collins Classics

Primary Mathematics

4th Edition - Integrating Theory with Practice

Statistics and Data Handling for Biologists

A Student's Guide

Statistics and Data Handling for Biologists

A Student's Guide

The Score

How to Stop Playing Someone Else's Game

Decision-Making and Analytics

Data-Driven Business Intelligence and Optimization

Humble Pi

A Comedy of Maths Errors

Stochastic Control in Energy, Environmental and Resource Management Applications

Emerging Methodologies and Applications in Modelling, Identification and Control

Recent Advances in Information Systems

Proceedings of the ICRAIS, Pointe aux Piments, Mauritius, 10-12 September 2025

Data Science and Social Research III

Epistemology, Methods, Technology, Applications, and Relation to Artificial Intelligence

Modal Semirings and Applications

Trends in Logic

Methusalem Seminars at Ghent Analysis and PDE Center

Extended Abstracts 2023/2024

Discrete Mathematics with Applications, Metric Edition

5th edition

Calculus

9th edition - Early Transcendentals, Metric

Precalculus

8th Edition - Mathematics for Calculus, International Metric Edition

Tomoko Fuse's Amazing Kusudama Origami

Geometric Paper Art from Japan's Leading Expert!

The Black Swan

The Impact of the Highly Improbable

Second Grade Math with Confidence Bundle (Math with Confidence)

Math with Confidence

Oxford Maths for Australian Schools Year 4 Value Pack

3rd Edition

Mathematics of Uncertainty Applied to Global Issues

Sustainability, Mistreatment of Women, Nuclear Power, Smart Cities, Digitalization

Fooled By Randomness

The Hidden Role of Chance in Life and in the Markets

This product is categorised by