Geodesic
On Quotient-Like Extensions of C(X)
Canadian mathematical bulletin, Tome 12 (1969) no. 6, pp. 793-799

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

The maximal ring of quotients (in the sense of Johnson [4] and Utumi [5[) of the ring C(X) of real valued continuous functions on a completely regular Hausdorff space X has been studied in [1] and [2]. The aim of the present paper is to provide some additional results to those, and to study the relevant extensions on the absence of the real maximal ideals. 
Park, Young L. On Quotient-Like Extensions of C(X). Canadian mathematical bulletin, Tome 12 (1969) no. 6, pp. 793-799. doi: 10.4153/CMB-1969-102-9
@article{10_4153_CMB_1969_102_9,
     author = {Park, Young L.},
     title = {On {Quotient-Like} {Extensions} of {C(X)}},
     journal = {Canadian mathematical bulletin},
     pages = {793--799},
     year = {1969},
     volume = {12},
     number = {6},
     doi = {10.4153/CMB-1969-102-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-102-9/}
}
TY  - JOUR
AU  - Park, Young L.
TI  - On Quotient-Like Extensions of C(X)
JO  - Canadian mathematical bulletin
PY  - 1969
SP  - 793
EP  - 799
VL  - 12
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-102-9/
DO  - 10.4153/CMB-1969-102-9
ID  - 10_4153_CMB_1969_102_9
ER  - 
%0 Journal Article
%A Park, Young L.
%T On Quotient-Like Extensions of C(X)
%J Canadian mathematical bulletin
%D 1969
%P 793-799
%V 12
%N 6
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-102-9/
%R 10.4153/CMB-1969-102-9
%F 10_4153_CMB_1969_102_9

[1] 1. Banaschewski, B., Maximal rings of quotients of semisimple commutative rings. Arch. Math. 16 (1965) 414–420. Google Scholar

[2] 2. Fine, N., Gillman, L. and Lambek, J., Rings of quotients of rings of functions. (McGill Univ. Press, Montreal, 1965.) Google Scholar

[3] 3. Gillman, L. and Jerison, M., Rings of continuous functions. (Princeton, 1960.) Google Scholar

[4] 4. Johnson, R., The extended centralizer of a ring over a module. Proc. Amer. Math. Soc. 2 (1951) 891–895. Google Scholar

[5] 5. Utumi, Y., On quotient rings. Osaka Math. J. 8 (1956) 1–18. Google Scholar

Cité par Sources :