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- W1971389219 abstract "In this paper some results on the Lie structure of prime superalgebras are discussed. We prove that, with the exception of some special cases, for a prime superalgebra, $A$, over a ring of scalars $Phi$ with $1/2in Phi$, if $L$ is a Lie ideal of $A$ and $W$ is a subalgebra of $A$ such that $[W, L]subseteq W$, then either $Lsubseteq Z$ or $Wsubseteq Z$. Likewise, if $V$ is a submodule of $A$ and $[V, L]subseteq V$, then either $Vsubseteq Z$ or $Lsubseteq Z$ or there exists an ideal of $A$, $M$, such that $0not= [M,A]subseteq V$. This work extends to prime superalgebras some results of I. N. Herstein, C. Lanski and S. Montgomery on prime algebras." @default.
- W1971389219 created "2016-06-24" @default.
- W1971389219 creator A5060101847 @default.
- W1971389219 date "2013-07-11" @default.
- W1971389219 modified "2023-09-27" @default.
- W1971389219 title "On the Lie structure of a prime associative superalgebra" @default.
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