Automorphisms of Tensor Completions of Algebras |
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Authors: | K. N. Ponomaryov |
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Affiliation: | (1) P/B 410, Novosibirsk, 630090, Russia |
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Abstract: | In the classical representation of different groups, frequent use is made of a linear automorphism group of various algebras. Since the linear automorphism group is only part of a full automorphism group, such an approach might seem to be too restrictive. In this connection, we point out a natural, wide class of algebras whose automorphisms are standard and are reducible to linear. Thus, for algebras in this class, studying the full automorphism group reduces to treating the linear, a traditional approach in the class of such algebras being quite general.__________Translated from Algebra i Logika, Vol. 44, No. 3, pp. 368–382, May–June, 2005. |
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Keywords: | automorphism tensor completion of algebras |
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