Abstract Algebra Notes (PostScript)

These are links to PostScript files containing notes for various topics in abstract algebra.

These are notes for Abstract Algebra I; they were revised during the Fall, 2004 term.

div.ps (4 pages, 134,704 bytes): Divisibility and the Division Algorithm.
euclid.ps (9 pages, 373,515 bytes): Greatest common divisor, the Euclidean algorithm, and the Extended Euclidean Algorithm.
prime.ps (5 pages, 177,923 bytes): Prime numbers and the Fundamental Theorem of Arithmetic.
modular.ps (7 pages, 245,071 bytes): Arithmetic in the integers mod n; congruences.
groups.ps (13 pages, 337,196 bytes): The axioms for a group; basic properties and examples.
subgroup.ps (6 pages, 219,573 bytes): Subgroups.
matgrp.ps (4 pages, 144,838 bytes): Groups of matrices.
unitzn.ps (3 pages, 125,851 bytes): The group of units in the integers mod n; Fermat's theorem.
cyclic.ps (6 pages, 190,984 bytes): Cyclic groups.
perm.ps (8 pages, 261,808 bytes): Permutation groups.
product.ps (6 pages, 182,191 bytes): Direct products of groups.
coset.ps (5 pages, 176,435 bytes): Cosets.
grphom.ps (9 pages, 237,835 bytes): Group homomorphisms.
normal.ps (9 pages, 209,085 bytes): Normal subgroups and quotient groups.
firstiso.ps (7 pages, 223,455 bytes): The First Isomorphism Theorem.
fgabgrp.ps (4 pages, 156,483 bytes): Finitely generated abelian groups. (No proofs, just some computational examples.)
ring.ps (8 pages, 195,371 bytes): Basic results on rings, domains, and fields.
poly.ps (8 pages, 220,415 bytes): Polynomials.
ideal.ps (5 pages, 177,580 bytes): Ideals.

These are notes for Abstract Algebra I; they were revised during the Fall, 1998 term.

ringhom.ps (5 pages, 62K): Ring homomorphisms.
quotring.ps (6 pages, 75K): Quotient rings; the First Isomorphism Theorem for Rings.
polyquot.ps (5 pages, 64K): Quotient rings of polynomial rings.

These are notes for Abstract Algebra II. They were revised during the Fall, 1999 term.

action.ps (7 pages, 113,662 bytes): Group actions; Burnside's theorem.
classeq.ps (4 pages, 56,700 bytes): The class equation.
cayley.ps (2 pages, 36,181 bytes): Cayley's theorem.
auto.ps (6 pages, 73657 bytes): Automorphism groups.
maxpri.ps (5 pages, 66,765 bytes): Maximal ideals and prime ideals.

Last updated: June 13, 2005