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Bilkent University

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Undergraduate and Graduate Programs 2018-2019

MATH 124 Abstract Mathematics II

Cardinality, countable and uncountable sets. Cantor set. Axiom of choice, infinite products. Partial orderings, Zorn's lemma. Well ordered sets. Groups, normal subgroups and factor groups. Rings and fields. Ideals and quotient rings. Ordered fields and Dedekind's construction of real numbers. Credit units: 4 ECTS Credit units: 6.5, Prerequisite: MATH 123.

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