On automorphisms of categories of universal algebras
Category Theory
2007-05-23 v1 General Mathematics
Abstract
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.
Keywords
Cite
@article{arxiv.math/0411408,
title = {On automorphisms of categories of universal algebras},
author = {Boris Plotkin and Grigori Zhitomirski},
journal= {arXiv preprint arXiv:math/0411408},
year = {2007}
}
Comments
24 pages. Connected to math.GM/0403394, math.GM/0210187, math.GM/0210194