Abstract Algebra

Course Description and Grading Breakdown


Course Meeting Time and Location
Monday, Wednesday and Friday
9:00 - 9:55 am
255 Linde

Course Instructor Contact Information and Office Hours

TA Contact Information and Office Hours
Karlming Chen
kchen7@caltech.edu
306 Linde
Thursday 7:00 - 8:00 pm

Course Schedule and Textbook

Algebra by Serge Lang

Introduction to Commutative Algebra by Ian G. MacDonald and Michael Atiyah

Commutative Rings by Matsumara

 DateTopic 
  
  


Course Policies
Late work - 


Assignments
 Date PostedAssignment Due Date  Solutions
Oct. 4, 20181
 Oct. 12, 2018 1
Oct. 10, 20182
 Oct. 19, 2018
 2
Oct. 16, 2018
3
 Oct. 26, 2018
 3
Oct. 23, 2018
                 4
 Nov. 09, 2018
 4
Nov. 02, 2018
                 5 Nov. 16, 2018
 5
Nov. 14, 2018
                 6 Nov. 23, 2018*
 6
Nov. 15, 2018
                 7
 Nov. 30, 2018
 7
Nov. 28, 2018
                 8   
 Dec,10, 2018*
 
  (Last Assignment)
 (Note the new due date for Assignment 8)
 
*Due to the Thanksgiving holiday, we will accept the homework solutions for Set 6 until Monday November 26th at 9 am.
In problem 2b of HW set 6, take `minimal prime' to mean a prime ideal not containing another.
(No need to go to associated primes.)
In problems 3 & 4, take the associated primes of an ideal I in R to be the primes which annihilate some non-zero x in R/I.
In problem 3, you have to show that each P_j is a minimal non-zero prime ideal of R.


Midterm and Final Exam


Collaboration Table
 HomeworkExams
You may consult:  
Course textbook (including answers in the back)YESYES
Other booksYESNO
Solution manualsNONO
InternetYESNO
Your notes (taken in class)YESYES
Class notes of othersYESNO
Your hand copies of class notes of othersYESYES
Photocopies of class notes of othersYESNO
Electronic copies of class notes of othersYESNO
Course handoutsYESYES
Your returned homework / examsYESYES
Solutions to homework / exams (posted on webpage)YESYES
Homework / exams of previous yearsNONO
Solutions to homework / exams of previous yearsNONO
Emails from TAsYESNO
You may:

Discuss problems with othersYESNO
Look at communal materials while writing up solutionsYESNO
Look at individual written work of othersNONO
Post about problems onlineNONO
For computational aids, you may use:

CalculatorsYES*NO
ComputersYES*NO

* You may use a computer or calculator while doing the homework, but may not refer to this as justification for your work.  For example, "by Mathematica" is not an acceptable justification for deriving one equation from another.  Also, since computers and calculators will not be allowed on the exams, it's best not to get too dependent on them.

Ċ
HW1.pdf
(43k)
Dinakar Ramakrishnan,
Oct 4, 2018, 5:38 PM
Ċ
HW2.pdf
(28k)
Dinakar Ramakrishnan,
Oct 10, 2018, 4:58 PM
Ċ
HW3.pdf
(47k)
Dinakar Ramakrishnan,
Oct 16, 2018, 8:26 PM
Ċ
HW4.pdf
(39k)
Dinakar Ramakrishnan,
Oct 23, 2018, 3:17 PM
Ċ
HW5.pdf
(35k)
Dinakar Ramakrishnan,
Nov 2, 2018, 11:49 AM
Ċ
HW6.pdf
(42k)
Dinakar Ramakrishnan,
Nov 14, 2018, 6:39 PM
Ċ
HW7.pdf
(44k)
Dinakar Ramakrishnan,
Nov 15, 2018, 3:18 PM
Ċ
HW8.pdf
(30k)
Dinakar Ramakrishnan,
Nov 28, 2018, 6:16 PM
Ċ
Karlming Chen,
Oct 22, 2018, 9:01 PM
Ċ
Karlming Chen,
Nov 1, 2018, 7:50 PM
Ċ
Karlming Chen,
Nov 7, 2018, 11:53 PM
Ċ
Karlming Chen,
Nov 16, 2018, 2:19 AM
Ċ
Karlming Chen,
Nov 29, 2018, 11:21 AM
Ċ
Karlming Chen,
Dec 6, 2018, 12:00 PM
Ċ
Karlming Chen,
Dec 16, 2018, 6:58 PM