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Commutativity of rings with constraints on commutators
2012This paper studies commutativity of rings \(R\) satisfying polynomial identities of the form\break \(x^t[x^n,y]y^r=[x,y^m]y^s\) and three similar forms, where \(n,m,r,s,t\) are suitably-chosen nonnegative integers. Whether the theorems are correct as stated is not clear, but for some \((n,m,r,s,t)\) the proofs given do not work.
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Commuting Maps Lacking Commuting Extensions
The American Mathematical Monthly, 1967D. R. Anderson, D. C. Kay
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Commutativity, non-commutativity, and bilinearity
Information Processing Letters, 1976openaire +2 more sources