identities with derivations and automorphisms on semiprime rings
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ID: 131204
2005
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Abstract
The purpose of this paper is to investigate identities with derivations and automorphisms on semiprime rings. A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative. Mayne proved that in case there exists a nontrivial centralizing automorphism on a prime ring, then the ring is commutative. In this paper, some results related to Posner's theorem as well as to Mayne's theorem are proved.
| Reference Key |
vukman2005internationalidentities
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|---|---|
| Authors | ;Joso Vukman |
| Journal | structural engineering and mechanics |
| Year | 2005 |
| DOI |
10.1155/IJMMS.2005.1031
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| URL | |
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