Preface These notes give an introduction to the basic notions of abstract algebra, groups, rings (so far as they are necessary for the construction of eld exten-sions) and Galois theory. Familiar algebraic systems: review and a look ahead.
GRF is an ALGEBRA course, and specifically a course about algebraic structures. Groups, Rings, and Fields. Elementary set theory was one of them. In the "new math" introduced during the 1960s in the junior high grades of 7 through 9, students were exposed to some mathematical ideas which formerly were not part of the regular school curriculum. Everyone is familiar with the basic operations of arithmetic, addition, subtraction, multiplication, and division. Introduction to Groups, Rings and Fields HT and TT 2011 H. A. Priestley 0. This introduc-tory section revisits ideas met in the early part of Analysis I and in Linear Algebra I, to set the scene and provide motivation. Groups, Rings and Fields Karl-Heinz Fieseler Uppsala 2010 1.
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