Math 122
Homework #5
Due: Friday 1 May 2015
Reading: DummitFoote Ch 10.4, Ch 10.5 p398-402.
Summary of denitions and main results
Denitions weve covered: tensor products, (S, R)bimodule and Rbimodule, R-balanced map, Rbilinear map, universal property of t
Homework #6
Math 122
Not to hand in
Reading: DummitFoote Ch 12.112.2 (up to page 479).
Summary of denitions and main results
Denitions weve covered: Torsion submodule, rank of a module, free rank, invariant factors, elementary
divisors, characteristic pol
Math 122
Homework #4
Due: Friday 24 April 2015
Reading: DummitFoote pp 811-813, Ch 10.5 up to (and including) Theorem 38 on p398 (the book goes
into more detail on these topics than we will).
Summary of denitions and main results
Denitions weve covered: c
Math 122
Homework #1
Due: Friday 3 April 2015
Reading: Dummit-Foote Ch 10.1.
Please review the Math 122 Course Information posted on our webpage:
http:/web.stanford.edu/~jchw/2015Math122.
Summary of denitions and main results
Denitions weve covered: left
Math 122
Homework #3
Due: Friday 17 April 2015
Reading: DummitFoote Ch 10.3 & pp 911-912.
Summary of denitions and main results
Denitions weve covered: generators of an Rmodule, the Rsubmodule RA generated by a set A, nite
generation, cyclic module, minim
Math 122
Homework #7
Due: 15 May 2015
Reading: DummitFoote Ch 12.112.3. We will not cover the portions of these chapters on computational
algorithms.
Summary of denitions and main results
Denitions weve covered: Jordan canonical form, Jordan block J,k .
M
Homework #2
Math 122
Due: Friday 10 April 2015
Reading: DummitFoote Ch 10.210.3.
Recall: We assume that all rings have a multiplicative identity 1, that a subring of R must contain 1R ,
and that a ring homomorphism R S must map 1R to 1S .
Summary of denit