MTH U576 - Rings and Fields

Institution:

Northeastern University

Subject:

Description:

Introduces commutative rings, ideals, integral domains, fields, and the theory of extension fields. Topics include Gaussian integers, Galois groups, and the fundamental theorem of Galois theory. Applications include the impossibility of angle-trisection and the general insolvability of fifth- and higher-degree polynomials. Other topics are covered as time permits.

Credits:

4.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.northeastern.edu

Phone Number:

(617) 373-2000

Regional Accreditation:

New England Association of Schools and Colleges

Calendar System:

Semester

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