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Abstract Algebra
Course notes by J.S. Milne. Topics covered are group, fields and Galois, algebraic number, class field theories. Other areas discussed are modular functions and forms, elliptic curves, algebraic geometry, Etale Cohomology, and Abelian varieties. In HTML, PDF, PostScript and DVI formats.
http://www.jmilne.org/math/CourseNotes/
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Abstract Algebra
Lecture notes by David Wilkins at Trinity College, Dublin.
http://www.maths.tcd.ie/~dwilkins/Courses/311/
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Abstract Algebra
"Intro to Abstract Algebra" by Paul Garrett in PostScript and PDF.
http://www.math.umn.edu/~garrett/m/intro_algebra/
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Abstract Algebra
Three books by Robert B. Ash (chapters in PDF): Abstract Algebra: The Basic Graduate Year, A Course In Algebraic Number Theory, and A Course In Commutative Algebra.
http://www.math.uiuc.edu/~r-ash/
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Abstract Algebra IIl
A third edition of "Abstract Algebra" by John A. Beachy and Bill Blair published by Waveland Press. Includes table of contents, preface and supplements.
http://www.math.niu.edu/~beachy/abstract_algebraII/
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Abstract Algebra Notes
A collection of short notes by Bruce Ikenaga in PostScript.
http://www.millersville.edu/~bikenaga/absalg/absanote.html
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Abstract Algebra with GAP
A laboratory manual by J. G. Rainbolt and J. A. Gallian.
http://math.slu.edu/~rainbolt/manual2.html
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Algebra Notes
Roy Smith's course notes in linear algebra, elementary abstract algebra, basic graduate algebra, and a survey of the Riemann-Roch theorem from Riemann to Hirzebruch.
http://www.math.uga.edu/%7eroy/
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Algebraic Geometry over the Complex Numbers
Online book by Donu Arapura.
http://www.math.purdue.edu/~dvb/preprints/book.pdf
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Algebraic K-theory
"An introduction to algebraic K-theory" by Charles Weibel. Chapters in DVI.
http://math.rutgers.edu/~weibel/Kbook.html
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Arxiv: AC Commutative Algebra
Articles cover commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
http://front.math.ucdavis.edu/math.AC
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Elements of Abstract and Linear Algebra, by Edwin H. Connell
Full online book on abstract algebra with emphasis on linear algebra. Format: DVI, PDF, PS and gzipped-PS.
http://www.math.miami.edu/~ec/book/
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Exploratory Galois Theory on the Web
By John Swallow (CUP, 2004). Supporting software in Maple and Mathematica.
http://www.davidson.edu/academic/math/swallow/ExpGalThWeb/
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Finite Rank Torsion Free Modules over Dedekind Domains
An unfinished book by Lee Lady.
http://www.math.hawaii.edu/~lee/book/
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Lie Superalgebras
Irving Kaplansky's material on Lie superalgebras.
http://justpasha.org/math/links/subj/lie/kaplansky/
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The Book of Involutions
By M-A. Knus, A. Merkurjev, M. Rost, J-P. Tignol (Preface by J. Tits). AMS Colloquium Publications, Vol. 44 (1998). Table of contents, bibliography, index, errata, reviews.
http://www.mathematik.uni-bielefeld.de/~rost/BoI.html
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Universal Algebra
"A Course in Universal Algebra" by Stanley Burris and H. P. Sankappanavar. PostScript and PDF.
http://www.thoralf.uwaterloo.ca/htdocs/ualg.html
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