A STUDY ON THE NON-ASSOCIATIVE RINGS AND DEVELOPMENTS
Keywords:
Octonions, Jordan RingsAbstract
With the help of this paper, we want to show a broad survey and growth of current review of non-associative rings and compute some of their different types of application in various ways till date. All these applications describe and exhibit the ample work in various fields of non-associative rings and by which different algebraic framework in theoretical overview could be grown.
References
M. Alghamdi and F. Sahraoui. Tensor product of LA-modules. International Mathematical Forum, 9:1309–1319, 2014
M. Horn and S. Zandi. Second cohomology of Lie rings and the schur multiplier. Int. J. Group Theory, 3:9–20, 2014.
M. Zorn. Theorie der alternativen ringe. Abh. Math. Semin. Univ. Hambg., 8:123–147, 1930.
Mathematical Forum, 9:1309–1319, 2014.
N. Yu. Makarenko and E. I. Khukhro. Almost solvability of Lie algebras with almostregular automorphisms. Dokl. Math., 68:325–326, 2003.
N. Yu. Makarenko E. I. Khukhro and P. Shumyatsky. Frobenius groups of automor-phisms and their fixed points. Forum Math., 26:73–112, 2011
N. Yu. Makarenko. Finite 2-groups with automorphisms of order 4. Algebra Logic,40:47–54, 2001.
O. Chein and E. G. Goodaire. SRAR loops with more than two commutators. J.Algebra, 319:1903–1912, 2008.
of Algebra and Statistics, 4:1–6, 2015.
P. Yiarayong. On left primary and weakly left primary ideals in LA-rings. Asian
P. Yiarayong. On left primary and weakly left primary ideals in LA-rings. Asian Journal of Applied Sciences, 2(4):457–463, 2014.
R. D. Schafer. Alternative algebras over an arbitrary field. Bull. Amer. Math. Soc.,49:549–555, 1943
R. Dubisch and S. Perlis. On the radical of a non-associative algebra. Amer. J.Math., 70:540–546, 1948.
R. H. Bruck. Some results in the theory of quasigroups. Trans. Amer. Math. Soc.,56:19–52, 1944.
