This article is cited in 6 papers

Constants of derivations of prime rings

V. K. Kharchenko


Abstract: A Galois correspondence theorem is proved for any finite-dimensional Lie $\partial$-algebra of outer derivations of a prime ring of positive characteristic. A theorem is proved on the existence of a locally finite ideal, in the sense of Chirshov, over the ring of constants of such a Lie $\partial$-algebra. Extension and rigidity theorems are also obtained.
Bibliography: 14 titles.

UDC: 519.48

MSC: Primary 16A12, 16A72; Secondary 16A06, 17B60

Received: 30.10.1979

 English version: Mathematics of the USSR-Izvestiya, 1982, 18:2, 381–401

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