This is a preview of subscription content, log in via an institution to check access.
Literature cited
G. V. Babikov, “Some identities in the ring of matrices and their applications,” in: Twelfth All-Union Algebraic Colloquium, Texts of Reports [in Russian], No. 1, Sverdlovsk (1973), p. 127.
G. V. Babikov, “On the factorization of matrices. I,” Uch. Zap., Sverdl. Gos. Pedagog. Inst.,184, 3–10 (1973).
E. Study, “Zur Theorie der linearen Gleichungen,” Acta. Math.,42, 1–61 (1918).
A. R. Richardson, “Hypercomplex determinants,” Messenger Math.,55, 145–152 (1926).
A. R. Richardson, “Simultaneous linear equations over a division algebra,” Proc. London Math. Soc.,28, 395–420 (1928).
H. Y. Huang, “A direct method for the general solution of a system of linear equations,” J. Optimization, Theory Appl.,16, 429–445 (1975).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 24, No. 1, pp. 31–38, July, 1978.
Rights and permissions
About this article
Cite this article
Babnikov, G.V. Factorization of matrices over division rings and rings. Mathematical Notes of the Academy of Sciences of the USSR 24, 520–524 (1978). https://doi.org/10.1007/BF01812978
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01812978