MAT 423 Assignments

Highlighted assignments are due soon.

Due Date

Assignments
23 Nov Questions 4⋅9, 4⋅11, 4⋅12, 4⋅17, 4⋅22
also show that for any homomorphism \(\varphi:G\rightarrow H\), we have \(\ker\varphi<G\)
16 Nov Questions 3⋅113 (not as done in class, which was as a corollary, but by examining how vertices move), 3⋅114, 3⋅117, 3⋅118
9 Nov Questions 3⋅78, 3⋅79, 3⋅80, 3⋅81, 3⋅86, 3⋅94 (notice hint on following page), 3⋅104, 3⋅107
2 Nov Questions 3⋅32, 3⋅34, 3⋅44, 3⋅46, 3⋅48
26 Oct Questions 3⋅4, 3⋅11, 3⋅21, 3⋅21, 3⋅22, 3⋅25
12 Oct Questions 2⋅44, 2⋅45, 2⋅46, 2⋅48, 2⋅49, 2⋅53, 2⋅55, 2⋅62
5 OctRead pp. 58-59, especially Fact 2⋅41 and Definition 2⋅42 (zero divisors and integral domains)
Questions 2⋅24, 2⋅28, 2⋅30(a-c), 2⋅36, 2⋅38, 2⋅40, 2⋅44, 2⋅45 (typo alert: in 2⋅30(a) I wrote \(e\) when I should have written я)
There is an assignment at the department’s WeBWorK server, as well. Visit that link and log in with the credentials I emailed to you.
28 SepQuestions 2⋅3, 2⋅4, 2⋅10, 2⋅14, 2⋅15, 2⋅20, 2⋅21, 2⋅22
Hint on #20: In class I showed a value of \(d\) with a different undesirable behavior. Show that the same \(d\) exhibits the undesirable behavior described in #20.
21 SepRead §2⋅2
Questions 1⋅54, 1⋅57, 1⋅58, 1⋅67, 1⋅69, 1⋅70
Reminder: Please do not look up proofs of these questions in other sources, especially not the last two. You really can prove them on your own with the information given.
19 SepRead §2⋅1 (yes, all of it — this is college, after all)
14 SepQuestions 1⋅40, 1⋅41, 1⋅48, 1⋅49, 1⋅52
7 SepQuestions 1⋅15, 1⋅17, 1⋅19, 1⋅24, 1⋅25, 1⋅28, 1⋅30, 1⋅33
31 Aug
2 Aug
Questions 1⋅8, 1⋅9, 1⋅10, 1⋅11, 1⋅12, 1⋅13
29 AugQuestions 1⋅1, 1⋅2, 1⋅3, 1⋅6, 1⋅7