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arxiv: 0911.2250 · v1 · submitted 2009-11-11 · 🧮 math.AC

On Pr\"ufer-like conditions

classification 🧮 math.AC
keywords ufer-likeconditionsringscommutativeconceptdealsdivisorsdomain
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This paper deals with five extensions of the Pr\"ufer domain concept to commutative rings with zero divisors. We investigate the stability of these Pr\"ufer-like conditions under localization and homomorphic image. Our results generate new and original examples of Pr\"ufer-like rings.

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