Generalization of Jordan-Lie inner ideals of finite dimensional associative algebras

Author:

Shlaka Hasan M. S.1

Affiliation:

1. Department of Mathematics, Faculty of Computer Science and Mathematics, University of Kufa, Al-Najaf, Iraq

Abstract

We generalize Baranov and Shlaka’s results about bar-minimal Jordan-Lie and regular inner ideals of finite dimensional associative algebras. Let [Formula: see text] be a finite dimensional [Formula: see text]-perfect associative algebras [Formula: see text] over an algebraically closed field [Formula: see text] of arbitrary characteristic [Formula: see text] and let [Formula: see text] be a subalgebra of [Formula: see text]. We prove that for any bar-minimal Jordan-Lie inner ideal [Formula: see text] a [Formula: see text], there is a bar-minimal Jordan-Lie inner ideal of [Formula: see text] that contains [Formula: see text] and if [Formula: see text] is regular, then is a regular inner ideal of [Formula: see text] that contains [Formula: see text]. We also prove that for any strict orthogonal pair [Formula: see text] in [Formula: see text], there is a strict orthogonal idempotent pair [Formula: see text] in [Formula: see text] such that [Formula: see text].

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Algebra and Number Theory

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Inner ideals of the two and three-dimensional lie algebras;2ND INTERNATIONAL CONFERENCE OF MATHEMATICS, APPLIED SCIENCES, INFORMATION AND COMMUNICATION TECHNOLOGY;2023

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