Workbook in Higher Algebra
by David Surowski
1992
Number of pages: 194
Description:
This set of notes was developed as a result of Higher Algebra courses the author taught at Kansas State University. The text covers Group Theory, Field and Galois Theory, Elementary Factorization Theory, Dedekind Domains, Module Theory, Ring Structure Theory, Tensor Products, Zorn’s Lemma and some Applications.
Download or read it online for free here:
Download link
(0.8MB, PDF)
Similar books
Smarandache Ringsby W. B. Vasantha Kandasamy - American Research Press
The author embarked on writing this book on Smarandache rings (S-rings) specially to motivate both ring theorists and Smarandache algebraists to develop and study several important and innovative properties about S-rings.
(13298 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.
(11924 views)
Commutator Theory for Congruence Modular Varietiesby Ralph Freese, Ralph McKenzie - Cambridge University Press
This book presents the basic theory of commutators in congruence modular varieties and some of its strongest applications. The authors take an algebraic approach, using some of the shortcuts that Taylor and others have discovered.
(13364 views)
An Invitation to General Algebra and Universal Constructionsby George M. Bergman - Henry Helson
From the contents: Free groups; Ordered sets, induction, and the Axiom of Choice; Lattices, closure operators, and Galois connections; Categories and functors; Universal constructions in category-theoretic terms; Varieties of algebras; etc.
(15026 views)