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Professor Alexandru I. Suciu
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MTH U576 · Rings and Fields
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Spring
2007
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Course Information
Course
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MTH U576 · Rings and Fields (Sec. 1, Seq. B, Key# 00843)
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Instructor
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Alex Suciu
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Course Web Site
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www.math.neu.edu/~suciu/U576/rings.sp07.html
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Time and Place
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Mon. & Wed., 2:50-4:30pm, in 11 Snell
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Office
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441 Lake Hall
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Phone
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(617) 373-4456
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Email
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a.suciu@neu.edu
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Office Hours
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Mon. & Wed., 5:00 - 6:00 PM, or by appointment
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Textbook
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Abstract Algebra: An Introduction,
by Thomas W. Hungerford, Thomson Brooks/Cole, 2nd Edition, 1996
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Prerequisites
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MTH U371 (Linear Algebra) and MTH U575 (Group Theory), or permission of the instructor
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Grade
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Based on quizzes, class participation, and a final exam.
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Course Description
Introduces commutative rings, ideals, integral domains, fields and the theory of extension fields. Topics include Gaussian integers, polynomial rings, factorization of polynomials, Galois groups, and the fundamental theorem of Galois theory. Applications include the impossibility of angle-trisection and the general insolvability of polynomial equations of degree 5 and higher.
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Class Materials
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Started: November 16, 2006
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Last modified:
April 25, 2007
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