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
An Introduction to the Algebra of Quanticsby 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.
(10851 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.
(13774 views)
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.
(12107 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.
(6699 views)