Geodesic
The Isomorphism of Certain Continuous Rings
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 1333-1344

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

In this paper we shall prove the following two theorems (the terminology is explained in § 2 below; all rings are assumed to be associative).THEOREM 1. Suppose that is a division ring of finite order m over its centre Z and let μ(m) denote the factor sequence 1, m, m2, ... , mn, ... . Then the rings μ(w) and Zμ(m) are isomorphic. 
Dawkins, Brian P.; Halperin, Israel. The Isomorphism of Certain Continuous Rings. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 1333-1344. doi: 10.4153/CJM-1966-131-4
@article{10_4153_CJM_1966_131_4,
     author = {Dawkins, Brian P. and Halperin, Israel},
     title = {The {Isomorphism} of {Certain} {Continuous} {Rings}},
     journal = {Canadian journal of mathematics},
     pages = {1333--1344},
     year = {1966},
     volume = {18},
     number = {1},
     doi = {10.4153/CJM-1966-131-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1966-131-4/}
}
TY  - JOUR
AU  - Dawkins, Brian P.
AU  - Halperin, Israel
TI  - The Isomorphism of Certain Continuous Rings
JO  - Canadian journal of mathematics
PY  - 1966
SP  - 1333
EP  - 1344
VL  - 18
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1966-131-4/
DO  - 10.4153/CJM-1966-131-4
ID  - 10_4153_CJM_1966_131_4
ER  - 
%0 Journal Article
%A Dawkins, Brian P.
%A Halperin, Israel
%T The Isomorphism of Certain Continuous Rings
%J Canadian journal of mathematics
%D 1966
%P 1333-1344
%V 18
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1966-131-4/
%R 10.4153/CJM-1966-131-4
%F 10_4153_CJM_1966_131_4

[1] 1. Halperin, Israel, Regular rank rings, Can. J. Math., 17 (1965), 709–719. Google Scholar

[2] 2. Köthe, G., Schiefkörper unendlichenRanges über dem Zentrum, Math. Ann., 105 (1931), 15–39. Google Scholar

[3] 3. von Neumann, J., Examples of continuous geometries, Proc. Nat. Acad. Sci., U.S.A., 22 (1936), 101–108. Google Scholar

[4] 4. von Neumann, J., Independence of F from the sequence v (review by I. Halperin of unpublished manuscript of J. von Neumann), Collected Works of John von Neumann, Vol. IV (London, 1962). Google Scholar

Cité par Sources :