0
$\begingroup$

Abstract Algebra seems to be a huge topic that I'd like to study in some depth. Is there some series of books on algebra that starts from an (upper-division) undergrad level and includes a fairly comprehensive subject list -- including (amongst all the basics like groups/ rings/ fields) introductions to topics like algebras over fields/ rings, lattices, homological algebras, algebraic geometry, topological algebra, etc?

I'm looking for a series of books in the same vein as Spivak's A Comprehensive Introduction to Differential Geometry and the Princeton Lectures on Analysis.

If no such good series exists for abstract algebra, is Dummit/ Foote the most comprehensive single textbook that you guys know of? I'm looking to spend a year or two going through the material so it doesn't matter if it's really long.

$\endgroup$
  • $\begingroup$ You could try Serge Lang's book $\endgroup$ – R_D Nov 12 '15 at 4:14
  • 1
    $\begingroup$ Jacobson has a famous 3-volume series "Lectures in Abstract Algebra". These are probably dated (1950-60s), but I have heard good things about them. $\endgroup$ – darij grinberg Nov 12 '15 at 4:33
  • 1
    $\begingroup$ Do not try Lang unless you like correcting errors and filling gaps in proofs :) $\endgroup$ – darij grinberg Nov 12 '15 at 4:34
  • 1
    $\begingroup$ Rotman's 1000-page "Advanced Modern Algebra" might cover a lot of what you want your series to do. $\endgroup$ – darij grinberg Nov 12 '15 at 4:35
  • $\begingroup$ Bourbaki's 2-volume algebra $\endgroup$ – WWK Nov 12 '15 at 4:40
0
$\begingroup$

Abstract Algebra by IN Herstein.

$\endgroup$
0
$\begingroup$

There is the two-volume set Basic Algebra by Jacobson.

They have been reprinted by Dover: volume 1 and volume 2.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.