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Research Article

Abelian Non Jordan-Lie Inner Ideals of the Orthogonal Finite Dimensional Lie Algebras

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Pages 1547-1561 | Received 01 Apr 2022, Published online: 07 Jul 2022

References

  • A.A. Baranov. Classication of the direct limits of involution simple associative algebras and the corresponding dimension groups, Journal of Algebra, 381, 73-95, (2013). https://doi.org/10.48550/arXiv.1208.4087
  • A.A. Baranov, H. Shlaka. Jordan-Lie inner ideals of Finite dimensional associative algebras. Journal of Pure and Applied Algebra, 224(5), 2020, 106189-106193. https://doi.org/10.48550/arXiv.1609.05196
  • G. Benkart, On inner ideals and ad-nilpotent elements of Lie algebras, Trans. Amer. Math. Society 232, 61-81, (1977). https://doi.org/10.1090/S0002-9947-1977-0466242-6
  • G. Benkart, The Lie inner ideal structure of associative rings, Journal of Algebra 43(2), 561-584, (1976). doi: 10.1016/0021-8693(76)90127-7
  • G. Benkart and A. Lopez, The Lie inner ideal structure of associative rings revisited, Communications in Algebra, 37(11), 3833-3850, (2009). https://doi.org/10.1080/00927870802545729
  • J. Brox, A.F. Lopez, Inner Ideals of the Lie algebra of the skew elements of centrally closed prime algebra with a ring involution, Journal of Lie Theory, 12: 23-56, (2012).
  • F.S. Kareem, H.M. Shlaka, Inner Ideals of the symplectic simple Lie algebra, Journal of Physics: Conference Series, IOP Publishing, (to appear).
  • A.F. Lopez, E. Garcia, M.G. Lozano, Inner ideals of Finitary simple Lie algebras, Journal of Lie Theory, 16(1):97114, (2006). https://www.heldermann-verlag.de/jlt/jlt16/ferpl.pdf
  • A.F. Lopez, E. Garcia, M.G. Lozano, The Jordan algebras of a Lie algebra. Journal of Algebra, 308(1): 164-177, (2007). https://doi.org/10.1016/j.jalgebra.2006.02.035
  • A.F. Lopez, E. Garcia, M.G. Lozano, An Artinian theory for Lie algebras, Journal of Algebra, 319(3): 938-951, (2008). https://doi.org/10.1016/j.jalgebra.2007.10.038
  • I. Herstein, Topics in ring theory, Chicago, Ill: University of Chicago (1965).
  • M. Knus. American Mathematical Society, The book of involutions. Providence, R.I: American Mathematical Society (1998).
  • S. Roman, Advanced linear algebra, United state of America, ed2, Springer, 2007.
  • H.M. Shlaka. Locally Finite associative algebras and their Lie subalgebras. Journal of Physics: Conference Series, IOP Publishing, 1591, 012058-012065, (2020).
  • H.M. Shlaka, D.A. Mousa, Inner ideals of the Special Linear Lie algebras of Associative simple Finite Dimensional Algebras, AIP Conference Proceedings, (to appear).
  • W. Scharlau, Quadratic and Hermitian forms. 270.; 270, New York; Berlin: Springer-Verlag, (1985).
  • S. Bajrić. Infinite families of five-valued Walsh spectrum Boolean functions. Journal of Discrete Mathematical Sciences and Cryptography. Published online: 29 Jun 2020. https://doi.org/10.1080/09720529.2020.1756043
  • H.R. Yassein, N.M.G. Al-Saidi, A.K. Farhan. A new NTRU cryptosystem outperforms three highly secured NTRU-analog systems through an innovational algebraic structure. Journal of Discrete Mathematical Sciences and Cryptography. 25(2) 2022, 523-542. https://doi.org/10.1080/09720529.2020.1741218
  • C. Jana, T. Senapati, M. Pal. t-derivations on complicated subtraction algebras. Journal of Discrete Mathematical Sciences and Cryptography. 20(8) 2017, 1583-1595. https://doi.org/10.1080/09720529.2017.1308663

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