论文标题

在受限制的谎言代数的子代数晶格上{在受限的谎言代数的子代数晶格上

On the subalgebra lattice of a restricted Lie algebra]{On the subalgebra lattice of a restricted Lie algebra

论文作者

Paez-Guillan, Pilar, Siciliano, Salvatore, Towers, David A.

论文摘要

在本文中,我们研究了限制性谎言代数的限制亚代代代数的晶格。特别是,我们考虑了该晶格是双重原子,下部或上半年的代数,或者每个受限的亚代词是准理论的。在某些情况下,在某些情况下,在某些情况下,在非限制情况下,有一维的亚代桥的结果不受限制。

In this paper we study the lattice of restricted subalgebras of a restricted Lie algebra. In particular, we consider those algebras in which this lattice is dually atomistic, lower or upper semimodular, or in which every restricted subalgebra is a quasi-ideal. The fact that there are one-dimensional subalgebras which are not restricted results in some of these conditions being weaker than for the corresponding conditions in the non-restricted case.

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