Chapter

Commutative Algebra

pp 255-268

Date:

Prime Ideals That Satisfy Hensel’s Lemma

  • Stephen McAdamAffiliated withMathematics Department, RLM 8.100, The University of Texas at Austin Email author 

* Final gross prices may vary according to local VAT.

Get Access

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

Subject Classifications:

13A15 13B22 13G05 13J15