Textbook Sections

Problems

due

Part I, Jmodules.
Section 2 
2.10/ 1, 2, 4 
Friday, 9/2 
Lattice of submodules 
only problem 2 in 2.10 
Friday, 9/9 
Examples of submodules 
problems 2.10/ 5, 6, part of 4: V=N(2,1) 
Friday, 9/16 
Examples of homomorphisms 
Problems 3.9/ 2, 3, 4 
Friday, 9/23 
Direct sums and summands 
Show Lemma 3.6 (ii), Problems 3.9/ 5, 6 
Friday, 9/30 
Short exact sequences 
Problems 3.9/ 7 ("only if" part), 9, 10 
Friday, 10/7 
K[T]modules 
Exercise in 5.2, First 2 exercises in 5.4 
Friday, 10/14 
...intermission... 
time to prepare presentations or the term paper, or to grade... 
until Friday, 10/21 
Simple modules 
Problems 6.3/ 2, 4, 5 
Friday, 10/28 
Cyclic modules 
Problems 7.4/ 1, 2, 3 
Friday, 11/4 
Finite length modules 
Problems 8.3/ 1, 2, 3 
Friday, 11/11 
Local rings 
Problems 10.4/ 2, 3 
Monday, 11/21 