Geodesic
Central *-Differential Identities in Prime Rings
Canadian mathematical bulletin, Tome 39 (1996) no. 2, pp. 211-215

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Let R be a prime ring with involution and d, δ be derivations on R. Suppose that xd(x)—δ(x)x is central for all symmetric x or for all skew x. Then d = δ = 0 unless R is a commutative integral domain or an order of a 4-dimensional central simple algebra.
DOI : 10.4153/CMB-1996-026-x
Mots-clés : 16W25, 16W10, 16N60, 16R50, involution, derivation, symmetric element, skew element 
Lee, P. H.; Wong, T. L. Central *-Differential Identities in Prime Rings. Canadian mathematical bulletin, Tome 39 (1996) no. 2, pp. 211-215. doi: 10.4153/CMB-1996-026-x
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