Books on Rings without Identity 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!

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*Hungerford's Algebra

*Bresar's Introduction to Noncommutative Algebra.

*Behrens's Ring Theory.

*Warner's Modern Algebra (Section 32).

*Grove's Algebra (Chapter V).

*Herstein's Noncommutative Rings.

*McCoy's The Theory of Rings.

*Jacobson's Structure of Rings.

*Gardner and Wiegandt's Radical Theory of Rings.

