MATH 701

Algebra I

Graduate

Fall 2026 · Algebra 1 · C01

Readings

Fall 2026 · C01

Linear Algebra (vector spaces, quotient space, tensor products, direct sums, linear transformations, generalized eigenspaces, spectral decomposition)
Group Theory (groups, direct and semi-direct products, Sylow Theorems, Fundamental Theorem of Finite Abelian Groups)
Ring Theory (Rings, Euclidean Domains, Principal Ideal Domains, UFDs, Noetherian Rings, primary decomposition of ideals)
Module Theory (introduction to modules, finitely generated modules over PIDs)
Field Theory (introduction to fields, fields extensions, splitting fields, Nullstellensatz)

Abstract Algebra (Third Edition)
D. Dummit and R. Foote · 2004 · Required
Wiley · ISBN 0-471-43334-9
Abstract Algebra (Third Edition) ISBN: 0-471-43334-9 Authors: D. Dummit and R. Foote Publisher: Wiley Publication Date: 2004 A new copy of this book costs $160.00 on Amazon.ca. Used copies can be used, as well as earlier or electronic editions.
See source

Fall 2025 · Algebra 1 · C01

Sources