Exercises in Basic Ring Theory

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