On automorphisms of categories of universal algebras

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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.
24 pages. Connected to math.GM/0403394, math.GM/0210187, math.GM/0210194

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Category Theory, General Mathematics, 08C05 (Primery) 08B20 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/73283

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411408
 http://arxiv.org/abs/math/0411408

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arXiv