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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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