• RIGHT NUCLEUS IN RIGHT ALTERNATIVE RINGS
Abstract
In this paper we prove that if R is a semiprime and purely non-associative right alternative ring, then N = C. Also we show that the right nucleus Nr = C if R is purely non-associative provided that either R has no locally nilpotent ideals or R is semi prime and finitely generated mod Nr
Keywords
Non associative ring, Nucleus, commutator, nilpotent ideal, right alternative ring, semiprime.
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