categories of universal algebras
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2007 ◽  
Vol 17 (05n06) ◽  
pp. 1115-1132 ◽  
Author(s):  
BORIS PLOTKIN ◽  
GRIGORI ZHITOMIRSKI

Let [Formula: see text] be a variety of universal algebras. We suggest an approach for describing automorphisms of a category [Formula: see text] of free [Formula: see text]-algebras. In particular, this approach allows us to answer the question: is an automorphism of such a category inner? Most of the results actually deal with arbitrary categories supplied with a represented forgetful functor.


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