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  3. Rings and Ideals
  • This book is no longer available to purchase from Cambridge Core
  • Cited by 79
Publisher:
Mathematical Association of America
Online publication date:
June 2014
Print publication year:
1948
Online ISBN:
9781614440086
DOI:
https://doi.org/10.5948/9781614440086
Subjects:
Mathematics, Algebra
Series:
Carus Mathematical Monographs
Information

Book description

The MAA is pleased to re-issue the early Carus Mathematical Monographs in ebook and print-on-demand formats. Readers with an interest in the history of the undergraduate curriculum or the history of a particular field will be rewarded by study of these very clear and approachable little volumes. This monograph presents an introduction to that branch of abstract algebra having to do with the theory of rings, with some emphasis on the role of ideals in the theory. Except for a knowledge of certain fundamental theorems about determinants which is assumed in Chapter VIII, and at one point in Chapter VII, the book is almost entirely self-contained. Of course, the reader must have a certain amount of 'mathematical maturity' in order to understand the illustrative examples, and also to grasp the significance of the abstract approach. However, in so far as formal technique is concerned, little more than the elements of algebra are presupposed.

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