Geodesic
A Theorem on Henselian Rings
Canadian mathematical bulletin, Tome 11 (1968) no. 2, pp. 275-277

Voir la notice de l'article provenant de la source Cambridge

DOI

It is known that if K is a field, then the ring of formal power series in one or more variables, with coefficients in K, is Henselian at its maximal ideal. In this note we show that if R is a ring (commutative and with identity element) which is Henselian at the maximal ideals M1, M2, ... then R[[x]] - the ring of formal power series in x with coefficients from R - is also Henselian at the maximal ideals M1 ⋅ R[[x]] + x⋅ R[[x]], etc. 
Sankaran, N. A Theorem on Henselian Rings. Canadian mathematical bulletin, Tome 11 (1968) no. 2, pp. 275-277. doi: 10.4153/CMB-1968-032-4
@article{10_4153_CMB_1968_032_4,
     author = {Sankaran, N.},
     title = {A {Theorem} on {Henselian} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {275--277},
     year = {1968},
     volume = {11},
     number = {2},
     doi = {10.4153/CMB-1968-032-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-032-4/}
}
TY  - JOUR
AU  - Sankaran, N.
TI  - A Theorem on Henselian Rings
JO  - Canadian mathematical bulletin
PY  - 1968
SP  - 275
EP  - 277
VL  - 11
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-032-4/
DO  - 10.4153/CMB-1968-032-4
ID  - 10_4153_CMB_1968_032_4
ER  - 
%0 Journal Article
%A Sankaran, N.
%T A Theorem on Henselian Rings
%J Canadian mathematical bulletin
%D 1968
%P 275-277
%V 11
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-032-4/
%R 10.4153/CMB-1968-032-4
%F 10_4153_CMB_1968_032_4

Cité par Sources :