Skip to main content
SpringerLink
Log in

On some theorems in the theory of multioperator algebras

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. A. I. Shirshov, “Subalgebras of free commutative and free anticommutative algebras,” Matem. Sb.,34, 81–88 (1954).

    Google Scholar 

  2. S. V. Polin, “Subalgebras of free algebras of certain varieties of multioperator algebras,” Uspekhi Matem. Nauk,24, No. 1, 17–26 (1969).

    Google Scholar 

  3. A. T. Gainov, “Commutative free and anticommutative free products of algebras,” Sibirsk. Matem. Zh.,3, 805–833 (1962).

    Google Scholar 

  4. M. S. Burgin, “Commutative products of linear Ω-algebras,” Izv. Akad. Nauk SSSR,34, No. 5, 977–999 (1970).

    Google Scholar 

  5. M. S. Burgin, “A freeness theorem in certain varieties of linear Ω-algebras and Ω-rings,” Uspekhi Matem. Nauk,24, No. 1, 27–38 (1969).

    Google Scholar 

  6. A. G. Kurosh, “Nonassociative free algebras and free products of algebras,” Matem. Sb.,20, 239–262 (1947).

    Google Scholar 

  7. A. G. Kurosh, “Free sums of multioperator algebras,” Sibirsk. Matem. Zh.,1, 62–70 and 638 (1960).

    Google Scholar 

  8. A. I. Zhukov, “Reduced systems of defining relations in algebras,” Matem. Sb.,27, 267–280 (1950).

    Google Scholar 

  9. Ts. E. Dididze, “Nonassociative free sums of algebras with an amalgamated subalgebra,” Matem. Sb.,43, 379–396 (1957).

    Google Scholar 

  10. A. G. Kurosh, “Nonassociative free sums of algebras,” Matem. Sb.,37, 251–264 (1955).

    Google Scholar 

  11. Ts. E. Dididze, “Free sums of Ω-algebras with an amalgamated Ω-subalgebra,” Soobshch. Akad. Nauk Gryzinsk. SSR,50, No. 3, 531–534 (1968).

    Google Scholar 

  12. A. G. Kurosh, “Multioperator rings and algebras,” Uspekhi Matem. Nauk,24, No. 1, 3–15 (1969).

    Google Scholar 

  13. B. Mitchell, Theory of Categories, Academic Press, New York-London (1965).

    Google Scholar 

  14. P. Cohn, Universal Algebra, Harper and Row, New York (1965).

    Google Scholar 

  15. M. Sh. Tsalenko, “Functors between latticed categories,” Matem. Sb.,80, No. 4, 533–552 (1969).

    Google Scholar 

  16. A. I. Shirshov, “Some algorithmic problems for ε-algebras,” Sibirsk. Matem. Zh.,3, No. 1, 132–137 (1962).

    Google Scholar 

Download references

Authors
  1. T. M. Baranovich
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 13, No. 1, pp. 6–16, January–February, 1972.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Baranovich, T.M. On some theorems in the theory of multioperator algebras. Sib Math J 13, 3–10 (1972). https://doi.org/10.1007/BF00967631

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00967631

Search

Navigation