Algebraic theories : a categorical introduction to general algebra [EBook] / J. Adámek, J. Rosický, E.M. Vitale ; with a foreword by F .W. Lawvere.
Algebraic theories : a categorical introduction to general algebra [EBook] / J. Adámek, J. Rosický, E.M. Vitale ; with a foreword by F .W. Lawvere.
Algebraic theories, introduced as a concept in the 1960s, have been a fundamental step towards a categorical view of general algebra. Moreover, they have proved very useful in various areas of mathematics and computer science. This carefully developed book gives a systematic introduction to algebra...
Personal Name(s):  Adámek, Jiří, (author) 

Rosický, Jiří, (author) / Vitale, E. M., (author) / Lawvere, F .W., (writer of foreword)  
Imprint: 
Cambridge :
Cambridge University Press,
2011

Physical Description: 
1 online resource (xvii, 249 pages) 
Note: 
englisch 
ISBN: 
9780521119221 9780511760754 
Series Title: 
Cambridge tracts in mathematics ;
184 
Subject (LOC):  
Full Text 
Table of Contents:
 Foreword / F.W. Lawvere
 Preliminaries. Abstract Algebraic Categories. Algebraic theories and algebraic categories ; Sifted and filtered colimits ; Reflexive coequalizers ; Algebraic categories as free completions ; Properties of algebras ; A characterization of algebraic categories ; From filtered to sifted ; Canonical theories ; Algebraic functors ; Birkhoff's variety theorem
 Concrete algebraic categories. Onesorted algebraic categories ; Algebras for an endofunctor ; Equational categories of [SIGMA]algebras ; Ssorted algebraic categories
 Selected topics. Morita equivalence ; Free exact categories ; Exact completion and reflexivecoequalizer completion ; Finitary localizations of algebraic categories. Monads ; Abelian categories ; More about dualities for onesorted algebraic categories.