MAT 424 Assignments

Highlighted assignments constitute recent material.
Keep in mind that even if a problem isn't assigned, you should still read it, as we may well use it later.

 

Topic

Assignments
Material for test 3 ends here
8.5 Ring isomorphisms8.83, 8.85, 8.87, 8.88
8.4 When is a quotient ring an integral domain or a field?8.64-8.66
8.3 Cosets and Quotient Rings8.48, 8.50
8.2 Principal Ideal Domains8.34, 8.35, 8.37, 8.39
8.1 Ideals8.14, 8.15, 8.16, 8.19, 8.20, 8.21
Material for test 2 ends here
7.4 Euclidean domains7.66, 7.69, 7.71, 7.72
7.3 Polynomial rings7.48, 7.49, 7.51, 7.53, 7.55, 7.56
7.2 Integral Domains and Fields7.33
7.1 A structure for addition and multiplication7.15, 7.16, 7.18, 7.19
Material for test 1 ends here
6.6 RSA Encryption6.65, 6.66
6.5 Euler's Theorem6.59, 6.61
6.4 Multiplicative clockwork groups6.47, 6.48
6.3 The Fundamental Theorem of Arithmetic6.36–6.38
6.2 The Chinese Remainder Theorem6.21–6.23
6.1 The Greatest Common Divisor6.10–6.12, 6.14
4.4 Automorphisms and groups of automorphisms4.61–4.63, 4.65, 4.66
3.6 “Solvable” groups3.106, 3.107, 3.108, 3.109
Algebra I Review!Foundations, Monoids: 0.52, 1.17, 1.20
Groups: 2.37, 2.78, 2.79, 2.81, 2.82, 2.84, 2.85
Subgroups: 3.31, 3.45, 3.48, 3.49, 3.67, 3.72, 3.73, 3.74, 3.90, 3.94
Isomorphisms: 4.16, 4.24, 4.33, 4.48, 4.52
Permutations: 5.15, 5.34, 5.35, 5.36, 5.37, 5.47, 5.54, 5.55, 5.71, 5.76
Material for test 1 begins here