On automorphisms of categories of free algebras of some varieties
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Given a variety of universal algebras. A method is suggested for describing automorphisms of a category of free algebras of this variety. Applying this general method all automorphisms of such categories are found in two cases: 1) for the variety of all free associative K-algebras over an infinite field K and 2) for the variety of all representations of groups in unital R-modules over a commutative associative ring R with unit. It turns out that they are almost inner in a sense.
32 pages. Continuation of math.CT/0411408, 2004
32 pages. Continuation of math.CT/0411408, 2004