Talk:Henselian ring

The definition of Henselian is incorrect as written. The article should say that P is a polynomial with coefficients in R, and that we look at the reduction of P in the ring of polynomials with coefficients in R/m. 137.82.36.10 (talk) 23:09, 28 November 2009 (UTC)

Isn't it usually called Henselian ring? Googling Hensel ring gives some 150 hits, Henselian ring some 450. Jakob.scholbach (talk) 22:00, 9 December 2007 (UTC)

Please give some references on the theory of non-commutative Henselian rings.  —Preceding unsigned comment added by 128.36.235.6 (talk) 18:49, 19 December 2008 (UTC) 

It was stated on the page that A is Henselian if it has one prime ideal. This is correct, but it simply means that A is a field so is not really relevant. —Preceding unsigned comment added by 131.202.24.11 (talk) 13:03, 17 June 2010 (UTC)

References for algebraic approximation

In the example that asserts that Henselization may be thought of the "algebraic part" of completion (a non-trivial result!), a reference should be given. One such reference is:

M. Artin, Algebraic approximation of structures over complete local rings, Publ. Math. IHES, 36 (1969), 23-58. — Preceding unsigned comment added by 132.199.32.210 (talk) 15:25, 1 February 2013 (UTC)

Article improvements

• state theorems giving techniques for computing henselizations and strict henselizations, in particular reducing the computations to corollary 4.17 of https://www.jmilne.org/math/CourseNotes/LEC.pdf
• These are found on https://stacks.math.columbia.edu/tag/0BSK (look at the 'slogans')

Wundzer (talk) 19:20, 25 January 2021 (UTC)