- In mathematics, a
Henselian ring (or
Hensel ring) is a
local ring in
which Hensel's
lemma holds. They were
introduced by
Azumaya (1951), who
named them...
- In
abstract algebra, a
discrete valuation ring (DVR) is a prin****l
ideal domain (PID) with
exactly one non-zero
maximal ideal. This
means a DVR is an...
-
Henselian property: Goro
Azumaya in 1950
defined a
commutative local ring
satisfying the
Henselian property for the
maximal ideal m to be a
Henselian...
- the
reducibility of
polynomials over
Henselian fields: ****ume that ( K , v K ) {\displaystyle (K,v_{K})} is
Henselian. If the
Newton polygon does not reduce...
- ISBN 978-3-540-63074-6 Gabber, Ofer (1992), "K-theory of
Henselian local rings and
Henselian pairs",
Algebraic K-theory,
commutative algebra, and algebraic...
-
Nisnevich topology, the
local rings are
Henselian, and a
finite cover of a
Henselian ring is
given by a
product of
Henselian rings,
showing exactness. If x is...
- Alma mater
Nagoya University Known for
Azumaya algebra Krull–Azumaya
theorem Henselian ring
Scientific career Fields Mathematics Institutions Indiana University...
-
homology of
henselian pairs", J. Amer. Math. Soc., 34: 411--473, arXiv:1803.10897 Gabber, Ofer (1992), "K-theory of
Henselian local rings and
Henselian pairs"...
- (d'après Pop)", Astérisque, 294: 403–431, MR 2111651 Pop,
Florian (2010). "
Henselian implies large".
Annals of Mathematics. 172 (3): 2183–2195. doi:10.4007/annals...
-
factorization in R[x]. 2. A
Henselian ring is a
local ring in
which Hensel's
lemma holds. 3. The
Henselization of a
local ring is a
Henselian ring
constructed from...
