Standard Lemma guide

Henselian

adj · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

adj

Meaning 1

Which satisfies the criteria for (some formulation of) Hensel's lemma.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: algebra, mathematics, sciences

Examples

  • 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.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

From Hensel (surname) + -ian; after German mathematician Kurt Hensel (1861–1941).