| Softcover ISBN: | 978-0-8218-1502-1 |
| Product Code: | SURV/2 |
| List Price: | $129.00 |
| MAA Member Price: | $116.10 |
| AMS Member Price: | $103.20 |
| eBook ISBN: | 978-1-4704-1229-6 |
| Product Code: | SURV/2.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-0-8218-1502-1 |
| eBook: ISBN: | 978-1-4704-1229-6 |
| Product Code: | SURV/2.B |
| List Price: | $254.00 $191.50 |
| MAA Member Price: | $228.60 $172.35 |
| AMS Member Price: | $203.20 $153.20 |
| Softcover ISBN: | 978-0-8218-1502-1 |
| Product Code: | SURV/2 |
| List Price: | $129.00 |
| MAA Member Price: | $116.10 |
| AMS Member Price: | $103.20 |
| eBook ISBN: | 978-1-4704-1229-6 |
| Product Code: | SURV/2.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-0-8218-1502-1 |
| eBook ISBN: | 978-1-4704-1229-6 |
| Product Code: | SURV/2.B |
| List Price: | $254.00 $191.50 |
| MAA Member Price: | $228.60 $172.35 |
| AMS Member Price: | $203.20 $153.20 |
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Book DetailsMathematical Surveys and MonographsVolume: 2; 1943; 150 ppMSC: Primary 42
The book is mainly concerned with the theory of rings in which both maximal and minimal conditions hold for ideals (except in the last chapter, where rings of the type of a maximal order in an algebra are considered). The central idea consists of representing rings as rings of endomorphisms of an additive group, which can be achieved by means of the regular representation.
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Table of Contents
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Chapters
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1. Groups and endomorphisms
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2. Vector spaces
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3. Non-commutative principal ideal domains
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4. Structure of rings of endomorphisms and of abstract rings
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5. Algebras over a field
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6. Multiplicative ideal theory
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The book is mainly concerned with the theory of rings in which both maximal and minimal conditions hold for ideals (except in the last chapter, where rings of the type of a maximal order in an algebra are considered). The central idea consists of representing rings as rings of endomorphisms of an additive group, which can be achieved by means of the regular representation.
-
Chapters
-
1. Groups and endomorphisms
-
2. Vector spaces
-
3. Non-commutative principal ideal domains
-
4. Structure of rings of endomorphisms and of abstract rings
-
5. Algebras over a field
-
6. Multiplicative ideal theory
