Homomorphisms and Involutions of Unramified Henselian Division Algebras
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2519-x |2 doi |
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| 245 | 0 | 0 | |a Homomorphisms and Involutions of Unramified Henselian Division Algebras |h [Elektronische Daten] |c [S. Tikhonov, V. Yanchevskii] |
| 520 | 3 | |a Let K be a Henselian field with a residue field K ¯ $$ \overline{K} $$ , and let A1, A2 be finite-dimensional division unramified K-algebras with residue algebras Ā 1 and Ā 2 Further, let HomK(A1,A2) be the set of nonzero K-homomorphisms from A1 to A2. It is proved that there is a natural bijection between the set of nonzero K ¯ $$ \overline{K} $$ -homomorphisms from Ā 1 to Ā 2 and the factor set of HomK and the factor set of HomK(A1,A2) under the equivalence relation: ϕ 1 ∼ ϕ 2 ⇔ there exists m ∈ 1 +MA2 such that ϕ2 = ϕ1 im, where im is the inner automorphism of A2 induced by m. A similar result is obtained for unramified algebras with involutions. Bibliography: 7 titles. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Tikhonov |D S. |u Belarus State University, Minsk, Belarus |4 aut | |
| 700 | 1 | |a Yanchevskii |D V. |u The Institute of Mathematics, Belarus National Academy of Sciences, Minsk, Belarus |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/4(2015-09-01), 657-664 |x 1072-3374 |q 209:4<657 |1 2015 |2 209 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2519-x |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2519-x |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Tikhonov |D S. |u Belarus State University, Minsk, Belarus |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Yanchevskii |D V. |u The Institute of Mathematics, Belarus National Academy of Sciences, Minsk, Belarus |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/4(2015-09-01), 657-664 |x 1072-3374 |q 209:4<657 |1 2015 |2 209 |o 10958 | ||