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πŸ“

Exercises in Basic Ring Theory

✍ Scribed by Grigore CΔƒlugΔƒreanu, Peter Hamburg

Publisher
Kluwer Academic Publishers
Year
1998
Tongue
English
Leaves
191
Series
Kluwer Texts in the Mathematical Sciences 20
Category
Library
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✦ Table of Contents

Contents
Preface
List of Symbols
Part I. EXERCISES
1. Fundamentals
2. Ideals
3. Zero Divisors
4. Ring Homomorphisms
5. Characteristics
6. Divisibility in Integral Domains
7. Division Rings
8. Automorphisms
9. The Tensor Product
10. Artinian and Noetherian Rings
11. Socle and Radical
12. Semisimple Rings
13. Prime Ideals, Local Rings
14. Polynomial Rings
15. Rings of Quotients
16. Rings of Continuous Functions
17. Special Problems
Part II. SOLUTIONS
1.1-1.5
1.6-1.9
1.10
1.11
1.12-1.14
1.15-1.16
1.17-1.22
1.23
1.24-1.27
1.28-1.31
2.1-2.4
2.5-2.10
2.11-2.13
2.14-2.15
2.16-2.18
2.19-2.21
2.22-2.23
2.24-2.25
2.26-2.27
3.1-3.3
3.4-3.8
3.9-3.12
3.13-3.17
3.18-3.19
4.1-4.4
4.5-4.8
4.9-4.12
4.13-4.15
5.1-5.6
5.7-5.12
5.13-5.17
6.1-6.4
6.5-6.8
6.10-6.13
6.14-6.17
6.18
7.1-7.4
7.5-7.8
7.9-7.12
7.13
7.14-7.17
8.1-8.3
8.4-8.8
8.9-8.12
8.13
9.1-9.4
9.5-9.8
9.9-9.10
9.11-9.14
10.1-10.2
10.3-10.9
10.10-10.11
10.12-10.15
10.16-10.19
10.20-10.22
11.1-11.2
11.3-11.7
11.8-11.11
11.12-11.13
11.14-11.17
11.18-11.22
12.1-12.4
12.5-12.10
12.11-12.12
12.13-12.16
12.17-12.18
12.19
13.1-13.3
13.4-13.6
13.7-13.11
13.12-13.15
13.16-13.19
13.20-13.21
13.22
13.23-13.26
14.1-14.5
14.6-14.12
14.13-14.16
14.17-14.19
15.1-15.4
15.5-15.10
15.11-15.15
15.16-15.20
15.21-15.22
16.1-16.3
16.4-16.6
16.7-16.9
16.10-16.15
16.17-16.21
16.22-16.23
16.24
17.1-17.4
17.5
17.6-17.7
17.8-17.12
17.13-17.15
17.16-17.19
17.20-17.21
Bibliography
[1]-[12]
[13]-[28]
Index

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