理想的有限莱布尼兹代数

Algebra and Discrete Mathematics Pub Date : 2023-01-01 DOI:10.12958/adm2139

L. A. Kurdachenko, I. Ya. Subbotin

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摘要

本文的目的是考虑莱布尼兹代数，其主要理想是有限维的。如果莱布尼兹代数L的每一个主理想的维数不超过b，且b是一个固定的正整数，则证明了L的派生理想具有有限维数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Ideally finite Leibniz algebras

The aim of this paper is to consider Leibniz algebras, whose principal ideals are finite dimensional. We prove that the derived ideal of L has finite dimension if every principal ideal of a Leibniz algebra L has dimension at most b, where b is a fixed positive integer.

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Algebra and Discrete Mathematics

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