Advanced search
Publication Cover
Communications in Algebra Volume 32, 2004 - Issue 5
Submit an article Journal homepage
37
Views
0
CrossRef citations to date
0
Altmetric
Miscellany

The Prime Radical of the Special Lie Algebras and the Elementary Chevalley Groups

Artem Yu. Golubkov Department of Informatic and Control Systems, Moscow State Technical University, Moscow, Russia; Moscow State Technical University, 2nd Baumanskaya St., 5, Moscow, 107005, RussiaCorrespondence[email protected]
Pages 1649-1683 | Received 01 Sep 2001, Published online: 21 Oct 2011

References

  • Abe , E. and Hurley , J. 1988 . Centers of Chevalley groups over commutative rings . Comm. Algebra , 16 : 57 – 74 .
  • Andrunakievich , V. A. and Ryabukhin , V. M. 1979 . Radicals of Algebras and the Structure Theory Moscow : Nauka .
  • Bakhturin , Yu. A. 1985 . Identities in the Lie Algebras Moscow : Nauka .
  • Beidar , K. I. and Pikhtilkov , S. A. 2000 . The prime radical of the special Lie algebras . Fund. Prikl. Math. , 6 : 643 – 648 .
  • Bokut , L. A. 1977 . Associative Rings Vol. 1 , Novosibirsk : Novosibirsk Univ. Press . Vol. 2. Novosibirsk: Novosibirsk Univ. Press, 1981
  • Chevalley , C. 1961 . Certains Schemas des Groupes Semi-Simples , Seminaire Bourbaki Vol. 219 , Paris : Secretariat Mathematique .
  • Golubkov , A. Yu. 2000a . Prime (R I*-soluble) radical of unitary group over ring with involution . Fund. Prikl. Math. , 6 : 93 – 119 .
  • Golubkov , A. Yu. 2000b . Prime radical of Chevalley group over commutative ring . J. Math. Soc. , 102 : 4781 – 4790 .
  • Golubkov , A. Yu. 2001 . Prime Radical of the Classical Groups over Associative Rings. Ph.D. thesis, Moscow State University
  • Golubchik , I. Z. 1997 . Lie type groups over PI-rings . Fund. Prikl. Math. , 3 : 399 – 424 .
  • Herstein , I. N. 1968 . Noncommutative rings . Carus Math. Mon. , 15
  • Jacobson , N. 1962 . Lie Algebras New York : Interscience .
  • Latyshev , V. N. 1963 . Two remarks about PI-algebras . Sib. Math. J. , 4 : 1120 – 1121 .
  • Platonov , V. P. 1965 . The Engel elements and radical in the PI-algebras and the topological groups . Doklady Ak. Sc. USSR , 161 : 288 – 291 .
  • Steinberg , R. 1967 . Lectures on Chevalley Groups , Mimiegraphed Lecture Notes New Haven : Yale Univ., Math. Dept .
  • Suprunenko , D. A. 1958 . The Soluble and the Nilpotent Linear Groups Minsk : Belgosuniv. Press .
  • Stchukin , K. K. 1960 . The R I*-soluble radical of groups . Math. Sbornik (novaya seriya) , 52 : 1024 – 1031 .
  • #Communicated by V. Artamonov.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.