Solvable subgroups in prime rings
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- by Charles Lanski PDF
- Proc. Amer. Math. Soc. 82 (1981), 533-537 Request permission
Abstract:
Let $R$ be a prime ring with center $Z$ and group of units $U$. The main theorem shows that any solvable normal subgroups of $U$ must lie in $Z$, provided that $R$ is not a domain, $Z$ is large enough, and that the $Z$-subalgebra generated by $U$ contains a nonzero ideal of $R$. One consequence is the determination of the structure of $R$ when $R$ has an involution and the subgroup of $U$ generated by the symmetric units is solvable.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 82 (1981), 533-537
- MSC: Primary 16A25
- DOI: https://doi.org/10.1090/S0002-9939-1981-0614873-9
- MathSciNet review: 614873