Skip to main content
SpringerLink
Log in

The tensor product of Lie soluble algebras

  • Published:
Archiv der Mathematik 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

References

  1. A. Braun, The nilpotency of the radical in finitely generated PI-algebras. J. Algebra89, 375–396 (1984).

    Google Scholar 

  2. N. D. Gupta andF. Levin, On the Lie ideals of a ring. J. Algebra81, 225–231 (1983).

    Google Scholar 

  3. A. R. Kemer, On nonmatrix identities. Algebra i Logika19, 255–283 (1980).

    Google Scholar 

  4. I. B. S. Passi, D. S. Passman andS. K. Sehgal, Lie solvable group rings. Canad. J. Math.25, 748–757 (1973).

    Google Scholar 

  5. Y. P. Razmyslov, On Engelian Lie algebras. Algebra i Logika10, 33–44 (1971).

    Google Scholar 

  6. A. Regev, Existence of identities inA⊗B. Israel J. Math.12, 253–257 (1972).

    Google Scholar 

  7. A. Regev, The representations ofS n and explicit identities for PI-algebras. J. Algebra51, 25–40 (1978).

    Google Scholar 

  8. D. M.Riley, Algebras generated by nilpotent elements of bounded index. Preprint 1995.

  9. D. M. Riley andA. Shalev, The Lie structure of enveloping algebras. J. Algebra162, 46–61 (1993).

    Google Scholar 

  10. E. Rips andA. Shalev, The Baer condition for group algebras. J. Algebra140, 83–100 (1991).

    Google Scholar 

  11. R. K. Sharma andJ. B. Srivastava, Lie solvable rings. Proc. Amer. Math. Soc.94, 1–8 (1985).

    Google Scholar 

  12. M. B. Smirnov andA. E. Zalesski, Associative rings satisfying the identity of Lie solvability. Vestsi. Akad. Navuk BSSR Ser. Fiz.-Mat. Navuk123, No. 2, 15–20 (1982).

    Google Scholar 

Download references

Author information

Author notes

  1. David M. Riley

    Present address: Department of Mathematics, The University of Alabama, 35487-0350, Tuscaloosa, AL, USA

Authors and Affiliations

    Authors
    1. David M. Riley
      View author publications

      You can also search for this author in PubMed Google Scholar

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Riley, D.M. The tensor product of Lie soluble algebras. Arch. Math 66, 372–377 (1996). https://doi.org/10.1007/BF01781555

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01781555

    Keywords

    Search

    Navigation