Ring Theory
This is a learning
resource page for Ring Theory, for 2nd/3rd year undergraduates.
It is independent of any particular module or programme.
The material here may thus be of use to any
student
studying Ring Theory (but do check your syllabus).
In particular the Leeds module
Math2033 Rings, Polynomials and Fields is relevant.
Study Notes
-
Study notes are
in here*
* this set of notes is functional,
but minor upgrades may appear from time to time - watch this space.
- The notes linked about assume you know the fundamentals of
first year undergraduate mathematics, such as:
- what a set is (see e.g.
Erich Kamke's book )
- what a relation is (see e.g.
here ).
- what a real number is (in some sense! perhaps as a
complete ordered field -- see e.g. the prologue to
Kropholler's Analysis from Scratch).
- ...and how to get help if none of these resources work for you!
(e.g. ask someone).
Exercises
Exercises are integrated in the notes.
For MATH2033, others are available in tutorial classes.
(Please go to tutorials; do not ask for copies elsewhere!)
MATH2033 Module Homeworks 2011
- 1. Do Exercises 2.13.1 - 2.13.6 from the Lecture Notes above.
- 2. Do Exercises 2.13.8 - 2.13.13 from the Lecture Notes above.
- 3. Do Exercises 2.13.14 - 2.13.23 from the Lecture Notes above.
Submission date is Friday 27th April.
Some further useful textbooks, links and resources
A longer and more advanced reference list is here.
Past examination papers
MATH2033 from 2009 on, and earlier equivalents, can be found Here.
2011 paper ,
2011 answers
Indicative answers for 2010 are here
(odd questions only, for now).
Paul Martin (base=amsta)
Last Modified: JAN 2011