Geodesic
Properties of Quotient Rings
Canadian journal of mathematics, Tome 24 (1972) no. 6, pp. 1122-1128

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

In [1; 2 ; 7] Gabriel, Goldman, and Silver have introduced the notion of a localization of a ring which generalizes the usual notion of a localization of a commutative ring at a prime. These rings may not be local in the sense of having a unique maximal ideal. If we are to obtain information about a ring R from one of its localizations, Qτ (R) say, it seems reasonable that Qτ (R) be a tractable ring. This, of course, is what Goldie, Jans, and Vinsonhaler [4; 3; 8] did in the special case for Q(R) the classical ring of quotients. 
Page, S. Properties of Quotient Rings. Canadian journal of mathematics, Tome 24 (1972) no. 6, pp. 1122-1128. doi: 10.4153/CJM-1972-117-1
@article{10_4153_CJM_1972_117_1,
     author = {Page, S.},
     title = {Properties of {Quotient} {Rings}},
     journal = {Canadian journal of mathematics},
     pages = {1122--1128},
     year = {1972},
     volume = {24},
     number = {6},
     doi = {10.4153/CJM-1972-117-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1972-117-1/}
}
TY  - JOUR
AU  - Page, S.
TI  - Properties of Quotient Rings
JO  - Canadian journal of mathematics
PY  - 1972
SP  - 1122
EP  - 1128
VL  - 24
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1972-117-1/
DO  - 10.4153/CJM-1972-117-1
ID  - 10_4153_CJM_1972_117_1
ER  - 
%0 Journal Article
%A Page, S.
%T Properties of Quotient Rings
%J Canadian journal of mathematics
%D 1972
%P 1122-1128
%V 24
%N 6
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1972-117-1/
%R 10.4153/CJM-1972-117-1
%F 10_4153_CJM_1972_117_1

[1] 1. Gabriel, P., Des categories Abeliennes, Bull. Soc. Math. France 90 (1962), 323–448. Google Scholar

[2] 2. Goldman, O., Rings and modules of quotients, J. Algebra 13 (1969), 10–47. Google Scholar

[3] 3. Jans, J. P., On orders in quasi-Frobenius rings, J. Algebra 7 (1967), 35–43. Google Scholar

[4] 4. Lambek, J., Lectures on rings and modules (Blaisdell, Waltham, Mass., 1966). Google Scholar

[5] 5. Morita, K., Localizations in categories of modules. I, Math. Z. 114 (1970), 121–144. Google Scholar

[6] 6. Francis L., Sandomirsky, Semisimple maximal quotient rings. Trans. Amer. Math. Soc. 128 (1967), 112–120. Google Scholar

[7] 7. Silver, L., Noncommutative localizations and applications, J. Algebra 7 (1967), 44–76. Google Scholar

[8] 8. Vinsonhaler, C. I., Orders in Q.F. 3 rings, J. Algebra 14 (1970), 83–90. Google Scholar

Cité par Sources :