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notes:misc:mathematics

Mathematics

• The Galois group of the cyclotomic field of order n over F of characteristic 0 is abelian.
• Every algebra consists of a set and certain operations on that set. An operation is a way of combining any two members of a set to produce a unique third member of the same set.
• An algebraic structure is an arbitrary set, with one or more operations defined on it.
• Algebra is the study of algebraic structures.