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MATH228 - Algebra: Introduction to Ring Theory

Integers. Mathematical induction. Equivalence relations. Commutative rings, including the integers mod n, complex numbers and polynomials. The Chinese remainder theorem. Fields and integral domains. Euclidean domains, principal ideal domains and unique factorization. Quotient rings and homomorphisms. Construction of finite fields. Applications such as public domain encryption, Latin squares and designs, polynomial error detecting codes, and/or addition and multiplication of large integers. Prerequisite: MATH 102, 125 or 127. Note: This course may not be taken for credit if credit has already been obtained in MATH 326.

Winter Term 2021

Lecture Sections

Winter Term 2021 - LEC Q1 (95446)

MWF 12:00:00 - 12:50:00 (TEL 150)
Fall Term 2020

Lecture Sections

Fall Term 2020 - LEC A1 (75290)

MWF 12:00:00 - 12:50:00 (BS M 145)
Spring Term 2020

Lecture Sections

Spring Term 2020 - LEC A1 (22136)

MTWRF 12:00:00 - 13:10:00 (SAB 326)
Winter Term 2020

Lecture Sections

Winter Term 2020 - LEC Q1 (86268)

MWF 12:00:00 - 12:50:00 (TEL 150)
Instructor: karpenko@ualberta.ca

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