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CHIEF FACTORS COVERED BY PROJECTORS OF SOLUBLE LEIBNIZ ALGEBRAS
Published online by Cambridge University Press: 30 March 2012
Abstract
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Let 𝔉 be a saturated formation of soluble Leibniz algebras. Let K be an 𝔉-projector and A/B a chief factor of the soluble Leibniz algebra L. It is well known that if A/B is 𝔉-central, then K covers A/B. I prove the converse: if K covers A/B, then A/B is 𝔉-central.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 86 , Issue 3 , December 2012 , pp. 353 - 355
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2012
References
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