Geodesic
The Complete Quotient Ring of Images of Semilocal Prüfer Domains
Canadian journal of mathematics, Tome 29 (1977) no. 5, pp. 914-927

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

It is well known that the complete quotient ring of a Noetherian ring coincides with its classical quotient ring, as shown in Akiba [1]. But in general, the structure of the complete quotient ring of a given ring is largely unknown. This paper investigates the structure of the complete quotient ring of certain Prüfer rings. Boisen and Larsen [2] considered conditions under which a Prüfer ring is a homomorphic image of a Prüfer domain and the properties inherited from the domain. We restrict our investigation primarily to homomorphic images of semilocal Prüfer domains. We characterize the complete quotient ring of a semilocal Prüfer domain in terms of complete quotient rings of local rings and a completion of a topological ring. 
Chuchel, John; Eggert, Norman. The Complete Quotient Ring of Images of Semilocal Prüfer Domains. Canadian journal of mathematics, Tome 29 (1977) no. 5, pp. 914-927. doi: 10.4153/CJM-1977-092-x
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