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MAXIMALLY PRUFER RINGS

机译:MAXIMALLY PRUFER RINGS

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摘要

In this paper we consider six Prufer-like conditions on a commutative ring R, and introduce seventh condition by defining the ring R to be maximally Prufer if RM is Prufer for every maximal ideal M of R, and we show that the class of such rings lie properly between Prufer rings and locally Prufer rings. We give a characterization of such rings in terms of the total quotient ring and the core of the regular maximal ideals. We also find a relationship of such rings with strong Prufer rings.

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