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On ideally finite Lie algebras which are lower semi-modular

Published online by Cambridge University Press:  20 January 2009

David Towers
David Towers
Affiliation:
Department of MathematicsUniversity of LancasterLancasterLA1 4YL
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The purpose of this paper is twofold: first to correct the statement of Theorem 1 in [4], and secondly to consider related problems in the class of ideally finite Lie algebras.

Throughout, L will denote a Lie algebra over a field K, F(L) will be its Frattini subalgebra and φ(L) its Frattini ideal. We will denote by the class of Lie algebras all of whose maximal subalgebras have codimension 1 in L. The Lie algebra with basis {u–1, u0, u1} and multiplication u–1u0 = u–1, u–1u1 = u0, u0u1 = u1 will be labelled L1(0).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 28 , Issue 1 , February 1985 , pp. 9 - 11
Copyright
Copyright © Edinburgh Mathematical Society 1985

References

REFERENCES

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