Abstract Algebra: The Basic Graduate Year
by Robert B. Ash
This is a text for the basic graduate course in abstract algebra. It covers fundamental algebraic structures (groups, rings, fields and modules), and maps between them. The text is written in conventional style, the book can be used as a classroom text or as a reference. Solutions to all problems are included in the text.
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by Eric G. Wagner - Wagner Mathematics
A text on universal algebra with a strong emphasis on applications and examples from computer science. The text introduces signatures, algebras, homomorphisms, initial algebras, free algebras, and illustrates them with interactive applications.
by G.H.E. Duchamp, et al. - arXiv
This tutorial is intended to give an accessible introduction to Hopf algebras. The mathematical context is that of representation theory, and we also illustrate the structures with examples taken from combinatorics and quantum physics.
by D. Rogalski - arXiv
These lecture notes are an expanded version of the author's lectures at a graduate workshop. The main topics discussed are Artin-Schelter regular algebras, point modules, and the noncommutative projective scheme associated to a graded algebra.
by E.B. Elliott - The Clarendon Press
The primary object of this book is that of explaining with all the clearness at my command the leading principles of invariant algebra, in the hope of making it evident to the junior student that the subject is attractive as well as important.