An Invitation to General Algebra and Universal Constructions
by George M. Bergman
Publisher: Henry Helson 1998
ISBN/ASIN: 0965521141
ISBN-13: 9780965521147
Number of pages: 398
Description:
From the contents: Free groups; A Cook's tour of other universal constructions; 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; Algebra and coalgebra objects in categories, and functors having adjoints.
Download or read it online for free here:
Download link
(multiple PS files)
Similar books
The Algebra of Invariantsby J.H. Grace, A. Young - Cambridge, University Press
Invariant theory is a subject within abstract algebra that studies polynomial functions which do not change under transformations from a linear group. This book provides an English introduction to the symbolical method in the theory of Invariants.
(7426 views)
The Construction and Study of Certain Important Algebrasby Claude Chevalley - The Mathematical Society Of Japan
This is the reproduction of the beautiful lectures delivered by Professor C. Chevalley at the University of Tokyo in April-June 1954. Contents: Graded algebras; Tensor algebras; Clifford algebras; Some applications of exterior algebras.
(6798 views)
Abstract Algebra: The Basic Graduate Yearby Robert B. Ash
Text for a graduate course in abstract algebra, it covers fundamental algebraic structures (groups, rings, fields, 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.
(15074 views)
On Lie Algebras Of Prime Characteristicby George B. Seligman - American Mathematical Society
The purpose of the present memoir is to demonstrate the applicability, under certain restrictions on the algebra and the base field, of the techniques used in the determination of all simple Lie algebras of characteristic zero.
(2753 views)