Henselian
التعريفات والمعاني
== English ==
=== Alternative forms ===
henselian
=== Etymology ===
From Hensel (surname) + -ian; after German mathematician Kurt Hensel (1861–1941).
=== Adjective ===
Henselian (not comparable)
(algebra, of a ring or field) Which satisfies the criteria for (some formulation of) Hensel's lemma.
1989, N. Bourbaki, Commutative Algebra: Chapters 1-7, [1985, N. Bourbaki, Éléments de Mathématique Algébre Commutative 1-4 et 5-7, Masson], Springer, page 256,
A local ring satisfying conditions (H) and (C) is called Henselian. Every complete Hausdorff local ring is Henselian. If A is Henselian and B is a commutative A-algebra which is a local ring and a finitely generated A-module, then B is Henselian.
=== See also ===
Henselization
Hensel ring
=== Further reading ===
Henselian ring on Wikipedia.Wikipedia
Hensel's lemma on Wikipedia.Wikipedia
=== Anagrams ===
Hanelines