On automorphisms of categories of free algebras of some varieties

Details On automorphisms of categories of free algebras of some varieties On automorphisms of categories of free algebras of some varieties

2005-01-20

arxiv.org/abs/math/0501331v1

Mathematics

Rings and Algebras

32 pages. Continuation of math.CT/0411408, 2004

Scientific paper

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.

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