2004/11/18 by Boris Plotkin, Plotkin, Boris, Grigori Zhitomirski +1
Mathematics · #08C05 (Primery) 08B20 (Secondary) #Category Theory (math.CT) #FOS: Mathematics #General Mathematics (math.GM) #math.CT #math.GM #msc:08B20 #msc:08C05
paper · pdf · doi:10.48550/arxiv.math/0411408
24 pages. Connected to math.GM/0403394, math.GM/0210187, math.GM/0210194
arxiv created 2004/11/18 · arxiv updated 2009/12/01
A new approach is suggested to characterize algebraically automorphisms of the category of free algebras of a given variety. It gives in many cases an answer to the problem set by the first of authors, if automorphisms of such a category are inner or not. This question is important for universal algebraic geometry [arXiv:math. GM\slash 0210187],[arXiv:math. GM\slash 0210194]. Most of results are actually valid for arbitrary categories with a represented forgetful functor.