Abstract Algebra: The Basic Graduate Year
by Robert B. Ash
2002
Number of pages: 407
Description:
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.
Download or read it online for free here:
Download link
(2.8MB, PDF)
Similar books
An Introduction to Nonassociative Algebrasby Richard D. Schafer - Project Gutenberg
Concise study presents in a short space some of the important ideas and results in the theory of nonassociative algebras, with particular emphasis on alternative and (commutative) Jordan algebras. Written as an introduction for graduate students.
(15664 views)
Hopf Algebras in General and in Combinatorial Physics: a practical introductionby 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.
(10710 views)
Smarandache Near-ringsby W. B. Vasantha Kandasamy - American Research Press
Near-rings are one of the generalized structures of rings. This is a book on Smarandache near-rings where the Smarandache analogues of the near-ring concepts are developed. The reader is expected to have a background in algebra and in near-rings.
(14357 views)
Noncommutative Ringsby Michael Artin
From the table of contents: Morita equivalence (Hom, Bimodules, Projective modules ...); Localization and Goldie's theorem; Central simple algebras and the Brauer group; Maximal orders; Irreducible representations; Growth of algebras.
(12404 views)