MATH 548: Introduction to Ring Theory
Mathematics 548
MATH 548: Introduction to Ring Theory
3
A ring is an algebraic system described by a set equipped with addition and multiplication operations. Rings arise naturally as generalized number systems. The integers, for example, form a ring with the usual addition and multiplication operations. Ring theory has applications in diverse areas such as biology, combinatorics, computer science, physics, and topology. Topics include rings of matrices, integers modulo n, polynomials, and integral domains. Some of the important theorems covered are the Fundamental Theorem of Algebra, the Division and Euclidean Algorithms, and Eisenstein's Criterion. 348/548
Math 222 with a grade of C or better.
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MATH 547: Introduction to Group Theory
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GradSchool Fest Fall 2012
