Homework 2 corrections

Fragment of a discussion from Course talk:MATH600D

Question 2.

One can define exterior powers over commutative rings + good properties. So if:

since rank of is one ( so constant ) over then . [ I have assumed in all this that is unital. ]


For reference you may look at the K-book chapter 1, pages: 4 (ex 1.6), 15, 16

For discussion of rank look at the K-book chapter 1, pages: 2, 9


Exercise. If has the invariant basis property (IBP), i.e. , then the rank of a stably free -module defined by where are such that is well defined.

20:57, 10 October 2011