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Polynomial and Matrix Near-Rings
Arabian Journal for Science and Engineering, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Boolean Orthogonalities For Near-rings
Results in Mathematics, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On derivations in near-rings and rings
Mathematical Journal of Okayama University, 1992In a near-ring \(R\) a derivation \(D\) is called an scp-derivation if \([x,y] = [D(x), D(y)]\), a Daif 1(2)-derivation if \(D(xy) - D(yx) = [x, y] (=[-x, y])\) (\(\forall x, y \in R\)). Various commutativity (and distributivity) results linked to such derivations are given: e.g.
Bell, Howard E., Mason, Gordon
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2009
A near-ring N is called an IFP near-ring provided that for all a, b, n ∈N, ab = 0 implies anb = 0. In this study, the IFP condition in a nearring is extended to the ideals in near-rings. If N/P is an IFP near-ring,where P is an ideal of a near-ring N, then we call P as the IFP-ideal ofN.
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A near-ring N is called an IFP near-ring provided that for all a, b, n ∈N, ab = 0 implies anb = 0. In this study, the IFP condition in a nearring is extended to the ideals in near-rings. If N/P is an IFP near-ring,where P is an ideal of a near-ring N, then we call P as the IFP-ideal ofN.
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Commutativity of rings and near-rings with generalized derivations
Indian Journal of Pure and Applied Mathematics, 2013Khalid H Al-Shaalan
exaly

