References

  1. Baranov A.A., Strade H. Finitary Lie algebras. J. Algebra 2002, 254 (1), 173–211. doi:10.1016/S0021-8693(02)00079-0
  2. Beidar K.I., Brešar M., Chebotar M.A., Martindale W.S. On Herstein’s Lie map conjectures, I. Trans. Amer. Math. Soc. 2001, 353 (10), 4235–4260. doi:10.1090/S0002-9947-01-02731-3
  3. Beidar K.I., Brešar M., Chebotar M.A., Martindale W.S. On Herstein’s Lie map conjectures, II. J. Algebra 2001, 238 (1), 239–264. doi:10.1006/jabr.2000.8628
  4. Beidar K.I., Brešar M., Chebotar M.A., Martindale W.S. On Herstein’s Lie map conjectures, III. J. Algebra 2002, 249 (1), 59–94. doi:10.1006/jabr.2001.9076
  5. Bezushchak O. On the Lie structure of locally matrix algebras. Carpathian Math. Publ. 2020, 12 (2), 311–316. doi:10.15330/cmp.12.2.311-316
  6. Bezushchak O. Derivations and automorphisms of locally matrix algebras. J. Algebra 2021, 576, 1–26. doi:10.1016/j.jalgebra.2021.02.013
  7. Bezushchak O. Spectra of locally matrix algebras. Algebra Discrete Math. 2021, 31 (1), 17–36. doi:10.12958/adm1734
  8. Bezushchak O. Automorphisms and derivations of algebras of infinite matrices. Linear Algebra Appl. 2022, 650 (1), 42–59. doi:10.1016/j.laa.2022.05.020
  9. Bezushchak O., Oliynyk B. Primary decompositions of unital locally matrix algebras. Bull. Math. Sci. 2020, 10 (1), 2050006. doi:10.1142/S166436072050006X
  10. Herstein I.N. Rings with involution. Univ. of Chicago Press, Chicago, 1976.
  11. Jacobson N. Structure of rings. Am. Math. Soc. Colloq. Publ. 37, 1956.
  12. Jacobson N. Lectures in abstract algebra. Volume 2. Linear algebra, Springer-Verlag, 1975.
  13. Kurosh A. Direct decompositions of simple rings. Rec. Math. 1942, 11, 245–264.
  14. Mackey G. On infinite dimensional linear spaces. Proc. Natl. Acad. Sci. USA 1943, 29 (7), 216–221. doi:10.1073/pnas.29.7.216
  15. Penkov I., Serganova V. Tensor representations of Mackey Lie algebras and their dense subalgebras. Dev. Math. 2014, 38, 291–330.
  16. Strade H. Locally finite dimensional Lie algebras and their derivation algebras. Abh. Math. Semin. Univ. Hambg. 1999, 69 (1), 373–391. doi:10.1007/BF02940886