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Communications in Algebra Volume 52, 2024 - Issue 3
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Research Article

Algebraic extensions of some results by Yang

E. IdnarourDépartement de Mathématiques et Informatique, Faculté des Sciences Ben M’Sik, Université Hassan II, Casablanca, MoroccoCorrespondence[email protected]
&
A. RochdiDépartement de Mathématiques et Informatique, Faculté des Sciences Ben M’Sik, Université Hassan II, Casablanca, Morocco
Pages 1230-1236 | Received 29 Dec 2022, Accepted 11 Sep 2023, Published online: 27 Sep 2023

References

  • Benkart, G. M., Britten, D. J., Osborn, J. M. (1982). Real flexible division algebras. Can. J. Math. XXXIV:550–588. DOI: 10.4153/CJM-1982-039-x.
  • Bott, R., Milnor, J. (1958). On the parallelizability of the spheres. Bull. Amer. Math. Soc. 64:87–89. DOI: 10.1090/S0002-9904-1958-10166-4.
  • Calderón, A., Kaidi, A., Martín, C. C., Morales, A., Ramírez, M., Rochdi, A. (2011). Finite-dimensional absolute-valued algebras. Israel J. Math. 184:193–220. DOI: 10.1007/s11856-011-0065-x.
  • Diabang, A. S., Diankha, O., Rochdi, A. (2016). On the automorphisms of absolute-valued algebras. IJA 10(3):113–123. DOI: 10.12988/ija.2016.51279.
  • El-Mallah, M. L. (1983). Sur les algèbres absolument valuées qui vérifient l’identité (x,x,x)=0. J. Algebra 80:314–322.
  • Hirzebruch, F., Koecher, M., Remmert, R. (1991). Numbers. New York: Springer-Verlag.
  • Hopf, H. (1940). Ein topologischer beitrag zur reellen algebra. Comment. Math. Helvet. 13:219–239. DOI: 10.1007/BF01378062.
  • Kervaire, M. (1958). Non-parallelizability of the n-sphere for n>7. Proc. Nat. Acad. Sci. USA 44:280–283.
  • Okubo, S. (1978). Pseudo-quaternion and pseudo-octonion algebras. Hadronic J. 1:1250–1272.
  • Petro, J. (1987). Real division algebras of dimension > 1 contain C. Amer. Math. 94:445–449.
  • Ramírez, M. I. (1999). On four dimensional absolute valued algebras. In: Castellóon, A., Cuenca, J. A., Fernández, A., Martín, C., eds. Proceedings of the International Conference on Jordan Structures (Málaga, June 1997), pp. 169–173, Málaga.
  • Segre, B. (1954). La teoria delle algebre ed alcune questione di realta. Univ. Roma, Ist. Naz. Alta. Mat. Rend. Mat. E Appl. Serie 5 13:157–188.
  • Stampfli-Rollier, C. (1983). 4-dimensionale Quasikompositionsalgebren. Arch. Math. 40:516–525. DOI: 10.1007/BF01192819.
  • Tvalavadze, M., Motya, N., Rochdi, A. (2021). Duplication methods for embeddings of real division algebras. J. Algebra Appl. 20(8):2250063-1–2250063-24, 24pp. DOI: 10.1142/S0219498822500633.
  • Yang, C. T. (1981). Division algebras and fibrations of spheres by great spheres. J. Differ. Geom. 16(4):577–593.

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