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Jordan-Lie inner ideals of finite dimensional associative algebras

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journal contribution
posted on 2019-08-08, 10:08 authored by Alexander Baranov, Hasan M. Shlaka
We study Jordan-Lie inner ideals of finite dimensional associative algebras and the corresponding Lie algebras and show that they admit Levi decompositions. Moreover, we classify Jordan-Lie inner ideals satisfying a certain minimality condition and show that they are generated by pairs of idempotents.

Funding

1 Supported by the University of Leicester. 2 Supported by the Higher Committee for Educational Development in Iraq (HCED Iraq).

History

Citation

Journal of Pure and Applied Algebra, 2019

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

  • AM (Accepted Manuscript)

Published in

Journal of Pure and Applied Algebra

Publisher

Elsevier for North-Holland

issn

0022-4049

Acceptance date

2019-07-02

Copyright date

2019

Publisher version

https://www.sciencedirect.com/science/article/pii/S0022404919301823?via=ihub

Notes

The file associated with this record is under embargo until 12 months after publication, in accordance with the publisher's self-archiving policy. The full text may be available through the publisher links provided above.

Language

en

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