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

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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