On Tame and Wild Automorphisms of Algebras
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2342-4 |2 doi |
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| 245 | 0 | 0 | |a On Tame and Wild Automorphisms of Algebras |h [Elektronische Daten] |c [C. Gupta, V. Levchuk, Yu. Ushakov] |
| 520 | 3 | |a Let B n be a polynomial algebra of n variables over a field F. Considering a free associative algebra A n of rank n over F as a polynomial algebra of noncommuting variables, we choose the ideal R of all polynomials with a zero absolute term in B n and A n . The well-known concept of wild automorphisms of the algebras A n and B n is transferred to R; the study of wild automorphisms is reduced to monic automorphisms of the algebra R, i.e., those identical on each factor R k /R k+1. In particular, this enables us to study the properties of the known Nagata and Anik automorphisms in detail. For n = 3 we investigate the hypothesis that the Anik automorphism is tame modulo R k for every given integer k > 1. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Gupta |D C. |u Department of Mathematics, University of Manitoba, Winnipeg, Canada |4 aut | |
| 700 | 1 | |a Levchuk |D V. |u Institute of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk, Russia |4 aut | |
| 700 | 1 | |a Ushakov |D Yu |u Institute of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk, Russia |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 206/6(2015-05-01), 660-667 |x 1072-3374 |q 206:6<660 |1 2015 |2 206 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2342-4 |q text/html |z Onlinezugriff via DOI |
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| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2342-4 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Gupta |D C. |u Department of Mathematics, University of Manitoba, Winnipeg, Canada |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Levchuk |D V. |u Institute of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Ushakov |D Yu |u Institute of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 206/6(2015-05-01), 660-667 |x 1072-3374 |q 206:6<660 |1 2015 |2 206 |o 10958 | ||