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February 12, 2026Journal of Algebra and Its Applications0 citations

A note on Lie and Jordan structures of Leavitt path algebras

HKHuynh Viet KhanhLDLe Qui Danh

Key Points

  • The research aims to analyze the structures of Lie and Jordan algebras from Leavitt path algebras.
  • Examined the properties of Leavitt path algebras over a field.
  • Analyzed the arising Lie and Jordan algebras.
  • Utilized the standard involution to assess solvability.
  • Determined conditions under which the Lie algebra is solvable.
  • Assessed solvability criteria for the Jordan algebra.

Abstract

Let Formula: see text be the Leavitt path algebra of a directed graph Formula: see text over a field Formula: see text. In this paper, we determine Formula: see text and Formula: see text for the Lie algebra Formula: see text and the Jordan algebra Formula: see text arising from Formula: see text with respect to the standard involution to be solvable.

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Cite This Study

Khanh et al. (2026) studied this question.

synapsesocial.com/papers/698d6edc5be6419ac0d54bb9https://doi.org/10.1142/s0219498827501568
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