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Mal’cev-Neumann series over rings satisfy the weak Beachy–Blair condition

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Abstract

In this paper we extend the notion of Beachy-Blair condition to the weak Beachy-Blair condition, then we study the transfer of the weak Beachy-Blair condition between the base ring R and the ring of Mal’cev-Neumann series \( R((G;\sigma ;\tau ))\).

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Correspondence to Mohamed Farahat.

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Salem, R., Farahat, M. & Abd-Elmalk, H. Mal’cev-Neumann series over rings satisfy the weak Beachy–Blair condition. Rend. Circ. Mat. Palermo, II. Ser 66, 391–398 (2017). https://doi.org/10.1007/s12215-016-0262-x

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  • DOI: https://doi.org/10.1007/s12215-016-0262-x

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