Semiprime rings with nilpotent Lie ring of inner derivations
We give an elementary and self-contained proof of the theorem which says that for a semiprime ring commutativity, Lie-nilpotency, and nilpotency of the Lie ring of inner derivations are equivalent conditions.
| Main Author: | |
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| Format: | Article |
| Language: | deu |
| Published: |
Sciendo
2014-04-01
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| Series: | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
| Online Access: | http://studmath.up.krakow.pl/index.php/studmath/article/view/177 |
| _version_ | 1818337096735129600 |
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| author | Kamil Kular |
| author_facet | Kamil Kular |
| author_sort | Kamil Kular |
| collection | DOAJ |
| description | We give an elementary and self-contained proof of the theorem which says
that for a semiprime ring commutativity, Lie-nilpotency, and nilpotency of the Lie ring of inner derivations are equivalent conditions. |
| first_indexed | 2024-12-13T14:49:47Z |
| format | Article |
| id | doaj.art-ee391e64d63e498d98a1f9e4661bf440 |
| institution | Directory Open Access Journal |
| issn | 2081-545X 2300-133X |
| language | deu |
| last_indexed | 2024-12-13T14:49:47Z |
| publishDate | 2014-04-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
| spelling | doaj.art-ee391e64d63e498d98a1f9e4661bf4402022-12-21T23:41:22ZdeuSciendoAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica2081-545X2300-133X2014-04-01131103107117Semiprime rings with nilpotent Lie ring of inner derivationsKamil KularWe give an elementary and self-contained proof of the theorem which says that for a semiprime ring commutativity, Lie-nilpotency, and nilpotency of the Lie ring of inner derivations are equivalent conditions.http://studmath.up.krakow.pl/index.php/studmath/article/view/177 |
| spellingShingle | Kamil Kular Semiprime rings with nilpotent Lie ring of inner derivations Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
| title | Semiprime rings with nilpotent Lie ring of inner derivations |
| title_full | Semiprime rings with nilpotent Lie ring of inner derivations |
| title_fullStr | Semiprime rings with nilpotent Lie ring of inner derivations |
| title_full_unstemmed | Semiprime rings with nilpotent Lie ring of inner derivations |
| title_short | Semiprime rings with nilpotent Lie ring of inner derivations |
| title_sort | semiprime rings with nilpotent lie ring of inner derivations |
| url | http://studmath.up.krakow.pl/index.php/studmath/article/view/177 |
| work_keys_str_mv | AT kamilkular semiprimeringswithnilpotentlieringofinnerderivations |