On the right alternative color algebras

Volume 9, Issue 5, October 2024     |     PP. 116-130      |     PDF (1431 K)    |     Pub. Date: November 6, 2024
DOI: 10.54647/mathematics110508    41 Downloads     1207 Views  

Author(s)

Dama Moussa, Department of Mathematics, Thomas Sankara University, Ouagadougou, Burkina Faso
Hamdiatou Yara, Department of Mathematics, Thomas Sankara University, Ouagadougou, Burkina Faso
Patricia L. Zoungrana, Department of Mathematics, Thomas Sankara University, Ouagadougou, Burkina Faso

Abstract
In this paper, we establish the color version of identities in (right) alternative algebras.

Keywords
Color algebras, ε-Commutator, ε-Jordan product, Associator, Right alternative color algebras.

Cite this paper
Dama Moussa, Hamdiatou Yara, Patricia L. Zoungrana, On the right alternative color algebras , SCIREA Journal of Mathematics. Volume 9, Issue 5, October 2024 | PP. 116-130. 10.54647/mathematics110508

References

[ 1 ] Albert, “On the right alternative algebras”, Annals of Mathematics, vol 50, pp 318-328, 1949.
[ 2 ] R. H. Bruck and E. Kleinfeld, “The structure of alternative division rings”, Proceedings of the American Mathematical Society, vol 2, pp 878-890, 1951.
[ 3 ] Dama Moussa and Patricia L. Zoungrana, “On identities in Malcev color algebras”, Universal Journal of Mathematics and Mathematical Sciences, vol 16, pp 41-65, 2022.
[ 4 ] Daniel De La Conception, “Universal enveloping algebras for Malcev color algebras’’, arXiv: 1509.04591v1, 2015.
[ 5 ] E. Kleinfeld, “Right alternative rings”, Proceedings of the American Mathematical Society, vol 4, pp 939-944, 1953.
[ 6 ] A. Nourou Issa and Patricia L. Zoungrana, “On identities in right alternative superalgebras”, European Journal of Mathematical Sciences, vol 4, no. 1, pp 1-12, 2018.
[ 7 ] S. V. Pchelintsev, “Free (-1, 1)-algebra with two generators”, (Russian), Algebra i Logika, vol 13, no. , 1974.
[ 8 ] L. A. Skornyakov, “Right alternative division rings”, (Russian), Izvestia of USSR Academy of Sciences, Mathematical Series, vol 15, no. 2, pp 177-184, 1952.
[ 9 ] A. Thedy, “Right alternative rings”, Journal of Algebra, vol 37, no. 1, pp 1-43, 1975.