Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I was just wondering if anybody knows of any good books or articles that study rings (and algebras) without (or not necessarily with) identity. I have gone through Thomas Hungerford's $Algebra$ textbook (and loved it), but every book I have read afterwards on noncommutative algebra (Farb and Dennis' $Noncommutative$ $Algebra$ and T. Y. Lam's $A$ $First$ $Course$ $in$ $Noncommutative$ $Rings$) have assumed that all rings are unitary. Could anyone give me a good reference please? Thank you all in advance!

share|improve this question

1 Answer 1

Jacobson's Structure of rings develops a bit of ring theory without assuming identity. Also Gardner and Wiegandt's book Radical Theory of Rings does not assume identities.

Any book on $C^*$ algebras would also have to deal with rings missing identity.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

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