Subhashini, K.; Vijasekhara Reddy, P. Weak Novikov identity in the join of \((-1,1)\) rings. (English) Zbl 1337.17005 Int. J. Algebra 6, No. 29-32, 1457-1461 (2012). Summary: If \(R\) is a \((-1,1)\) ring of characteristic \(\neq 2,3\) with weak Novikov identity \((w,x,yz) = y(w,x,z)\) then the strong Novikov identity \(x(yz) = y(xz)\) holds good in a prime ring \(R\). With this it is proved that \(R\) is associative. MSC: 17A30 Nonassociative algebras satisfying other identities 17D20 \((\gamma, \delta)\)-rings, including \((1,-1)\)-rings Keywords:associator; commutator; nucleus; characteristic; ideal; weak Novikov; strong Novikov; prime and \((-1,1)\) ring PDFBibTeX XMLCite \textit{K. Subhashini} and \textit{P. Vijasekhara Reddy}, Int. J. Algebra 6, No. 29--32, 1457--1461 (2012; Zbl 1337.17005) Full Text: Link