18
Views
3
CrossRef citations to date
0
Altmetric
Original Article

The Nucleus of the Free Alternative Algebra

&
Pages 445-454 | Published online: 30 Jan 2011

  • J. M. Clifton. "A Simplification of the Computation of the Natural Representation of the Symmetric Group Sn." Proc. Amer. Math. Soc. 83:2 (1981), 248–250.
  • V. T. Filippov. "Malcev Algebras Satisfying Engel's Condition." Algebra and Logic 14:4 (1975), 271–281.
  • I. R. Hentzel. "Processing Identities by Group Representation." In Computers in Nonassociative Rings and Algebras, edited by E. E. Beck and B. Kolman, pp. 13–40. New York: Academic Press, 1977.
  • I. R. Hentzel and D. P. Jacobs. "A Dynamic Programming Method for Building Free Algebras." Comput. Math. Appl. 22:12 (1991), 61–66.
  • I. R. Hentzel and L. A. Peresi. "Identities of Cayley–Dickson Algebras." J. Algebra 188:1 (1997), 292–309.
  • I. R. Hentzel and L. A. Peresi. "A Nonzero Element of Degree 7 in the Center of the Free Alternative Algebra." Comm. Alg. 31:3 (2003), 1279–1299.
  • I. R. Hentzel and L. A. Peresi. "Central Elements of Minimal Degree in the Free Alternative Algebra." In Non-Associative Algebra and Its Applications, edited by L. Sabinin, L. V. Sbitneva, I. P. Shestakov, 195–204, Lecture Notes in Pure and Appl. Math. 246, Chapman & Hall/CRC, 2006.
  • D. P. Jacobs, D. Lee, S. V. Muddana, A. J. Offutt, K. Prabhu, and T. Whiteley. Version 3.0. Albert's User Guide. Clemson University, 1996. Available online (www.cs.clemson.edu/~dpj/albertstuff/albert.html).
  • G. James and A. Kerber. The Representation Theory of the Symmetric Group. Encyclopedia of Mathematics and Its Applications, 16. Reading: Addison-Wesley, 1981.
  • E. Kleinfeld. "Simple Alternative Rings." Ann. of Math. (2) 58 (1953), 544–547.
  • E. Kleinfeld. "Right Alternative Rings." Proc. Amer. Math. Soc. 4 (1953), 939–944.
  • A. I. Malcev. "On Algebras Defined by Identities." Mat. Sbornik N. S. 26 (68) (1950), 19–33.
  • J. McKay. "The Largest Degrees of Irreducible Characters of the Symmetric Group." Math. Comp. 30 (1976), 624–631.
  • A. Regev. "On the Codimensions of Matrix Algebras." In Algebra—Some Current Trends (Varna, 1986), pp. 162–172, Lecture Notes in Math. 1352. Berlin: Springer, 1988.
  • I. P. Shestakov. "Free Malcev Superalgebra on One Odd Generator." J. Algebra Appl. 2:4 (2003), 451–461.
  • I. Shestakov and N. Zhukavets. "The Universal Multiplicative Envelope of the Free Malcev Superalgebra on One Odd Generator." Comm. Alg. 34:4 (2006), 1319–1344.
  • I. Shestakov and N. Zhukavets. "Speciality of Malcev Superalgebras on One Odd Generator." J. Algebra 301:2 (2006), 587–600.
  • W. Specht. "Gesetze in Ringen I." Math. Z. 52 (1950), 557–589.
  • K. A. Zhevlakov, A. M. Slin'ko, I. P. Shestakov, and A. I. Shirshov. Rings That Are Nearly Associative. New York: Academic Press, 1982.

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:

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:

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.