Skip to main content
SpringerLink
Log in

Normal Structure of the Adjoint Group in the Radical Rings Rn(K,J)

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

Abstract

The main purpose of this article consists in investigating the conjecture of existence of an algorithm for constructing normal subgroups of the adjoint group of the ring R n (K,J) from its Lie ideals under natural restrictions on K and J.

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

Similar content being viewed by others

References

  1. Levchuk V. M., “On connections of unitriangular groups with certain rings,” Algebra i Logika, 15, No. 5, 558-578. (1976)

    Google Scholar 

  2. Levchuk V. M., “Some locally nilpotent rings and their adjoint groups,” Mat. Zametki, 42, No. 5, 631-641 (1987).

    Google Scholar 

  3. Levchuk V. M., “Chevalley groups and their unipotent subgroups,” Contemp. Math., 131, No. 1, 227-242 (1992).

    Google Scholar 

  4. Martynova L. A., Normal Structure and Automorphisms of Lie-Type Unipotent Subgroups, Dis. Kand. Fiz.-Mat. Nauk, Moscow Univ., Moscow (1994).

    Google Scholar 

  5. Levchuk V. M. and SuleIimanova G. S., “Normal structure of the unipotent subgroup of the Steinberg group over a field,” Vestnik Krasnoyarsk. Gos. Tekhn. Univ, 1999, pp. 44-48.

  6. Suleimanova G. S., “Normal structure of the maximal unipotent subgroup of the unitary group over a field,” in: Symmetry and Differential Equations [in Russian], Inst. Vychislit. Mat. Sibirsk. Otdel. Ross. Akad. Nauk, Krasnoyarsk, 2000, pp. 206-209.

    Google Scholar 

  7. Kuzucuoglu F. and Levchuk V. M., “Ideals of some matrix rings,” Comm. Algebra, 28, No. 7, 3503-3513 (2000).

    Google Scholar 

  8. Kourovskaya Tetrad 0: Nereshennye Problemy Teorii Grupp [in Russian], Inst. Mat. (Novosibirsk), Novosibirsk (1992).

    Google Scholar 

  9. Suleimanova G. S., “On ideals of some matrix Lie rings,” in: Abelian Groups and Modules [in Russian], No. 15, Tomsk, 2000, pp. 89-97.

  10. Levchuk V. M., “Commutator structure of some subgroups of Chevalley groups,” Ukrain. Mat. Zh., 44, No. 6, 786-795 (1992).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Krasnoyarsk State University, Russia

    V. M. Levchuk & G. S. Suleimanova

Authors
  1. V. M. Levchuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. S. Suleimanova
    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

Levchuk, V.M., Suleimanova, G.S. Normal Structure of the Adjoint Group in the Radical Rings Rn(K,J). Siberian Mathematical Journal 43, 334–349 (2002). https://doi.org/10.1023/A:1014812423380

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1014812423380

Keywords

Search

Navigation