Isomorphisms of matrix groups over commutative rings
We give a description of the isomorphism classes of matrix groups over commutative rings with 1 and that have dimension more than 3 and containing the group of elementary transvections. We characterize those homomorphisms of matrix groups, which satisfy the so-called (*) condition. Such homomorphism...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2017
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| Sorozat: | Acta scientiarum mathematicarum
83 No. 1-2 |
| Kulcsszavak: | Matematika, Izomorfizmus - mátrixcsoport, Kommutatív gyűrű |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-016-004-x |
| Online Access: | http://acta.bibl.u-szeged.hu/48919 |
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| 024 | 7 | |a 10.14232/actasm-016-004-x |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Petechuk V. M. | |
| 245 | 1 | 0 | |a Isomorphisms of matrix groups over commutative rings |h [elektronikus dokumentum] / |c Petechuk V. M. |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2017 | ||
| 300 | |a 113-123 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 83 No. 1-2 | |
| 520 | 3 | |a We give a description of the isomorphism classes of matrix groups over commutative rings with 1 and that have dimension more than 3 and containing the group of elementary transvections. We characterize those homomorphisms of matrix groups, which satisfy the so-called (*) condition. Such homomorphisms can be constructed with the help of the standard homomorphism. We apply the characterization obtained to the description of the above class of matrix groups. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika, Izomorfizmus - mátrixcsoport, Kommutatív gyűrű | ||
| 700 | 0 | 1 | |a Petechuk J. V. |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/48919/1/math_083_numb_001-002_113-123.pdf |z Dokumentum-elérés |