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# Category Archives: Principal Ideal Domain

## 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
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