### Blogroll

### Archives

- August 2011 (16)
- June 2011 (5)
- May 2011 (30)
- April 2011 (4)

### Categories

Absolute Convergence Algebra Analysis Cauchy Center Compact Comparison Test Continuity Countable Cyclic Dense Differentiable Field Group Integral Domain Linear Operator Math MVT Order Principal Ideal Riemann Integrable Sequence Sequence of Functions Series Series of Functions Squeeze Theorem Topology Uncategorized Uniform Continuity Uniform Convergence

# Category Archives: Principal Ideal

## UIC Master’s Exam- Spring 2007 A2

Problem Statement: (a) State the division algorithm for (b) Show that is a principle ideal domain. Solutions: (a) The Division Algorithm: If with then there exist such that where . (b) Proof: Let be an ideal of . If is the trivial ideal … Continue reading

Posted in Algebra, Principal Ideal, Principal Ideal Domain
Leave a comment

## UIC Master’s Exam- Fall 2007 A2

Jeremy is preparing for the University of Illinois at Chicago Master’s Exam this coming Tuesday and so we have been studying together. His exam covers many topics, including algebra and analysis, and so you will be seeing several posts from … Continue reading

Posted in Algebra, Field, Integral Domain, Math, Principal Ideal
Leave a comment