Abstract
We define a near-commutativity property called the weakly COPE property; and we establish commutativity of weakly COPE rings R satisfying certain additional conditions, which may include a periodicity condition on some subset of R.
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Bell, H.E.: On some commutativity theorems of Herstein. Arch. Math. 24 (1973), 34–38.
Bell, H.E.: A near-commutativity property for rings. Result. Math. 42 (2002), 28–31.
Chuang, C-L and Lin, J-S: On a conjecture by Herstein. J. Algebra 126 (1989), 119–138.
Herstein, I.N.: A generalization of a theorem of Jacobson III. Amer. J. Math. 75 (1953), 105–111.
Herstein, I.N.: A note on rings with central nilpotent elements. Proc. Amer. Math. Soc. 5 (1954), 620.
Rosin, A. and Yaqub, A.: Weakly periodic and subweakly periodic rings. Internat. J. Math. & Math. Sci 33 (2003), 2097–2107.
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Bell, H.E., Yaqub, A. Near-commutativity and Partial-periodicity Conditions for Rings. Results. Math. 46, 24–30 (2004). https://doi.org/10.1007/BF03322867
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DOI: https://doi.org/10.1007/BF03322867