论文标题

在可溶解的谎言代数上,具有最大pro-nilpotent理想$ \ mathfrak {m} _0 $和$ \ mathfrak {m} _2 _2 $

On pro-solvable Lie algebras with maximal pro-nilpotent ideals $\mathfrak{m}_0$ and $\mathfrak{m}_2$

论文作者

Abdurasulov, K. K., Omirov, B. A., Solijanova, G. O.

论文摘要

该论文致力于研究可溶解的谎言代数的研究,其最大的亲态理想是$ \ mathfrak {m} _0 $或$ \ mathfrak {m} _2 $。也就是说,我们描述了这种谎言代数并确定其完整性。建立了一个代数之一的第二个同胞组的琐事。

The paper is devoted to the study of pro-solvable Lie algebras whose maximal pro-nilpotent ideal is either $\mathfrak{m}_0$ or $\mathfrak{m}_2$. Namely, we describe such Lie algebras and establish their completeness. Triviality of the second cohomology group for one of the obtained algebra is established.

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