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Prime Ideals That Satisfy Hensel’s Lemma

Stephen McAdam ()
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Stephen McAdam: The University of Texas at Austin, Mathematics Department, RLM 8.100

A chapter in Commutative Algebra, 2014, pp 255-268 from Springer

Abstract: Abstract Nagata proved that (R, P) is a Henselian domain if and only if every integral extension domain of R is quasi-local. We explore, with partial success, how to generalize that result.

Keywords: Henselian; Prime ideals; Integral extensions; Integral domains; 13A15; 13B22; 13G05; 13J15 (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0925-4_15

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DOI: 10.1007/978-1-4939-0925-4_15

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