User:Vanessa.foster: Difference between revisions
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*For people who are also in Topology, both DF and Lang have sections on the snake lemma, complexes, short exact sequences...etc |
*For people who are also in Topology, both DF and Lang have sections on the snake lemma, complexes, short exact sequences...etc |
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== Read Along== |
== Read Along== |
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Here are some sections to check out in Dummit Foote and Lang regarding what we have covered on Modules. |
Here are some sections to check out in Dummit Foote (Third ed.) and Lang regarding what we have covered on Modules. |
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===DF=== |
===DF=== |
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# Nov 22- Chap 12: Modules over Principal Ideal Domains. |
# Nov 22- Chap 12: Modules over Principal Ideal Domains. |
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#* See p.464 (Theorem 6. Fundamental Theorem, Existence: Elementary Divisor Form) which is DF's statement of the Theorem we finished proving on Tuesday. |
#* See p.464 (Theorem 6. Fundamental Theorem, Existence: Elementary Divisor Form) which is DF's statement of the Theorem we finished proving on Tuesday. |
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====Useful examples in DF==== |
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# DF, does a nice write up on F[x]-modules which I found to be quite helpful. See p. 340 |
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===Lang=== |
===Lang=== |
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#Nov 17-Chap 3 p.117-127 For the basics. |
#Nov 17-Chap 3 p.117-127 For the basics. |
Revision as of 19:14, 3 December 2011
Last two weeks of the course and I have finally started a page... better late than never right?
Comments
- For people who are also in Topology, both DF and Lang have sections on the snake lemma, complexes, short exact sequences...etc
Read Along
Here are some sections to check out in Dummit Foote (Third ed.) and Lang regarding what we have covered on Modules.
DF
- Nov 17- Chap 10: Introduction to Module Theory
- Nov 22- Chap 12: Modules over Principal Ideal Domains.
- See p.464 (Theorem 6. Fundamental Theorem, Existence: Elementary Divisor Form) which is DF's statement of the Theorem we finished proving on Tuesday.
Useful examples in DF
- DF, does a nice write up on F[x]-modules which I found to be quite helpful. See p. 340
Lang
- Nov 17-Chap 3 p.117-127 For the basics.
- Nov 22- Chap 3 p.149-155, uses torsion modules...but same general idea as what was done in class.
Random Fun Things
Links
11-1100 Course Homepage