Does anyone have any recommendations for book on modern abstract algebra?

 

They should include rings, fields, algebras, groups and their homomorphisms. I am looking for an accessible account of all the basics we should all know.

 

Cheers.

If you find one, then let me know. I tried a while back and found it was next to impossible to find such a thing, for some reason!

Maybe we have to lose the accessible constraint!

 

Of course Dave, if I find one I will let you know.

 

I have yet to have a good look at John A. Beachy's abstract algebra online. It seems useful at first glance.

Although I don't see anything on rings Matrix Mathematics: Theory, Facts and Formulas the 2nd edition is now available. Looking through, it looks thorough and covers all the basics of algebras, fields, groups, lie groups and their homomorphisms. I'm sure rings are in there somewhere but the index is cross referenced more so with respect to the generalized theorem wherein such matters may be covered. I'm quite excited at it finally having arrived and am enthusiastically reading through it!

Contemporary Abstract Algebra 7th edition

http://www.amazon.com/Contemporary-Abstract-Algebra-Joseph-Gallian/dp/0547165099/ref=sr_1_1?ie=UTF8&qid=1249332179&sr=8-1

Contemporary Abstract Algebra 7th edition

http://www.amazon.com/Contemporary-Abstract-Algebra-Joseph-Gallian/dp/0547165099/ref=sr_1_1?ie=UTF8&qid=1249332179&sr=8-1

 

Great little topic.

And Nice work--thank you for sharing- for me this makes perfect sense though.

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