Hostname: page-component-76fb5796d-45l2p Total loading time: 0 Render date: 2024-04-29T19:19:38.968Z Has data issue: false hasContentIssue false
  • English
  • Français

The Lie ring of symmetric derivations of a ring with involution

Published online by Cambridge University Press:  09 April 2009

D. A. Jordan
D. A. Jordan
Affiliation:
Department of Pure Mathematics University of SheffieldThe Hicks Building Sheffield S3 7RH, U.K.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper we investigate how the ideal structure of the Lie ring of symmetric derivations of a ring with involution is determined by ideal structure of the ring.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 29 , Issue 2 , March 1980 , pp. 153 - 161
Copyright
Copyright © Australian Mathematical Society 1980

References

Herstein, I. N. (1970), ‘On the Lie structure of an associative ring’, J. Algebra, 14, 561–571.CrossRefGoogle Scholar
Jordan, C. R. and Jordan, D. A. (1978a), ‘Lie rings of derivations of associative rings’, J. London Math. Soc. (2) 17, 33–41.CrossRefGoogle Scholar
Jordan, C. R. and Jordan, D. A. (1978b), ‘The Lie structure of a commutative ring with a derivation’, J. London Math. Soc. (2) 18, 39–49.CrossRefGoogle Scholar
Kawada, Y. (1952), ‘On the derivations in simple algebras’, Sci. Papers College Gen. Ed. Univ. Tokyo, 2, 1–8.Google Scholar
Lanski, C. and Montgomery, S. (1972), ‘Lie structure of prime rings of characteristic 2’, Pacific J. Math., 42, 117–136.CrossRefGoogle Scholar
Lanski, C. (1976), ‘Lie structure in semiprime rings with involution’, Comm. Algebra, 4 (8), 731–746.CrossRefGoogle Scholar
Lanski, C. (1977), ‘Lie ideals and derivations in rings with involution’, Pacific J. Math., 69, 449–460.CrossRefGoogle Scholar
Lanski, C. (1978), ‘Lie structure in semiprime rings with involution II’, Comm. Algebra, 6(17), 1755–1775.CrossRefGoogle Scholar