Geodesic
Completions of Rank Rings
Canadian mathematical bulletin, Tome 20 (1977) no. 2, pp. 199-205

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

DOI

In this note, we prove three results on regular rings possessing a rank function: (a) the completion of a *-regular rank ring is a regular Baer *-ring; (b) (a) is used to construct regular Baer * factors of type IIf with centre any complex subfield closed under conjugation; (c) the units of a unit-regular rank ring form a dense topological subgroup of the units of the completion. 
Handelman, David. Completions of Rank Rings. Canadian mathematical bulletin, Tome 20 (1977) no. 2, pp. 199-205. doi: 10.4153/CMB-1977-032-3
@article{10_4153_CMB_1977_032_3,
     author = {Handelman, David},
     title = {Completions of {Rank} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {199--205},
     year = {1977},
     volume = {20},
     number = {2},
     doi = {10.4153/CMB-1977-032-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-032-3/}
}
TY  - JOUR
AU  - Handelman, David
TI  - Completions of Rank Rings
JO  - Canadian mathematical bulletin
PY  - 1977
SP  - 199
EP  - 205
VL  - 20
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-032-3/
DO  - 10.4153/CMB-1977-032-3
ID  - 10_4153_CMB_1977_032_3
ER  - 
%0 Journal Article
%A Handelman, David
%T Completions of Rank Rings
%J Canadian mathematical bulletin
%D 1977
%P 199-205
%V 20
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-032-3/
%R 10.4153/CMB-1977-032-3
%F 10_4153_CMB_1977_032_3

Cité par Sources :