Jordan, C. R. and Jordan , D. A.
|DOI (Digital Object Identifier) Link:||http://dx.doi.org/doi:10.1112/jlms/s2-17.1.33|
|Google Scholar:||Look up in Google Scholar|
Let be an associative ring with centre . The aim of this paper is to study how the ideal structure of the Lie ring of derivations of , denoted , is determined by the ideal structure of . If is a simple (respectively semisimple) finite-dimensional -algebra and δ = 0 for all δ ∈ , then every derivation of is inner and is known to be a simple (respectively semisimple) Lie algebra (see [7, 5]). Here we are interested in extending these results to the case where is a prime or semi-prime ring.
|Item Type:||Journal Article|
|Copyright Holders:||1978 London Mathematical Society|
|Extra Information:||MR number MR0472927|
|Academic Unit/Department:||Mathematics, Computing and Technology > Mathematics and Statistics|
|Depositing User:||Camilla Jordan|
|Date Deposited:||09 Feb 2012 12:34|
|Last Modified:||09 Feb 2012 12:34|
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