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Journal of the London Mathematical Society 1980 s2-21(3):456-464; doi:10.1112/jlms/s2-21.3.456
© 1980 by London Mathematical Society
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© Oxford University Press

Right Nucleus in Right Alternative Algebras

Ng Seong Nam

School of Mathematical Sciences, Universiti Sains Malaysia Penang, Malaysia

Suppose that R is a right alternative algebra free of 2 torsion, with right nucleus M. nucleus N. and center C.

If R is semiprime and purely nonassociative, then N = C. If further R is finitely generated or free of locally nilpotent ideals, then M = C. If R is prime and M != C, then the associator ideal of R is locally nilpotent.


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