References

  1. Bezushchak O. Derivations and automorphisms of locally matrix algebras. arXiv:2007.15716v1 [math.RA]
  2. Bezushchak O., Oliynyk B. Unital locally matrix algebras and Steinitz numbers. J. Algebra Appl. 2020, 19 (09), 2050180. doi: 10.1142/S0219498820501807
  3. Bezushchak O., Oliynyk B. Primary decompositions of unital locally matrix algebras. Bull. Math. Sci. 2020, 10 (1), 2050006 (7 pages). doi: 10.1142/S166436072050006X
  4. Drozd Yu.A., Kirichenko V.V. Finite Dimensional Algebras. Springer-Verlag, Berlin-Heidelberg-New York, 1994.
  5. Glimm J.G. On a certain class of operator algebras. Trans. Amer. Math. Soc. 1960, 95 (2), 318-340.
  6. Herstein I.N. On the Lie and Jordan rings of a simple associetive ring. Amer. J. Math. 1955, 77 (2), 279-285.
  7. Jacobson N. Lie algebras. Dover Publications Inc., New Yourk, 1979.
  8. Jacobson N. Structure of rings. Colloquium Publications, 37, 1956.
  9. Köthe G. Schiefkörper unendlichen Ranges uber dem Zentrum. Math. Ann. 1931, 105, 15-39.
  10. Kurosh A. Direct decompositions of simple rings. Rec. Math. 1942, 11 (53) (3), 245-264.
  11. Seligman G.B. Modular Lie Algebras. Springer-Verlag, Berlin-Heidelberg, 1967.
  12. Steinitz E. Algebraische Theorie der Körper. J. Reine Angew. Math. 1910, 137, 167-309.
  13. Willard S. General Topology. Dover Publications, Mineola, New York, 2004.