MATH 402: ADVANCED ALGEBRA II
HW7 SOLUTIONS (SKETCH)
(1) (a) cf. Proposition 2, page 114 in Dummit and Foote.
(b) cf. page 51 in Dummit and Foote.
(c) The equivalence classes form a partition of S . Write S =
iI Si , where
denotes disjoint union and I is
MATH 402: ADVANCED ALGEBRA II
1ST MIDTERM TEST
MARCH 3, 2010
Name (in block capitals):
Signature:
(1) Solve all the problems and read each one very carefully before answering it.
(2) This is a closed book, closed notes examination. The use of calculators