Maximal non-Prüfer and maximal non--Prüfer rings

2021 ◽  
pp. 1-19
Author(s):  
Atul Gaur ◽  
Rahul Kumar
Keyword(s):  
1973 ◽  
Vol 5 (2) ◽  
pp. 132-138
Author(s):  
Paul Camion ◽  
L.S. Levy ◽  
H.B. Mann
Keyword(s):  

Author(s):  
Silvana Bazzoni ◽  
Sarah Glaz
Keyword(s):  

2020 ◽  
Vol 48 (7) ◽  
pp. 3079-3090
Author(s):  
Wei Zhao ◽  
Fanggui Wang ◽  
Xiaolei Zhang

2019 ◽  
Vol 47 (4) ◽  
pp. 1608-1618
Author(s):  
Jason G. Boynton
Keyword(s):  

1977 ◽  
Vol 29 (5) ◽  
pp. 914-927 ◽  
Author(s):  
John Chuchel ◽  
Norman Eggert

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.


1992 ◽  
Vol 20 (9) ◽  
pp. 2609-2633 ◽  
Author(s):  
Yiqiang Zhou
Keyword(s):  

1977 ◽  
Vol 26 (2) ◽  
pp. 166-177 ◽  
Author(s):  
Carl Faith
Keyword(s):  

1991 ◽  
Vol 30 (5) ◽  
pp. 361-368 ◽  
Author(s):  
V. A. Puninskaya ◽  
G. E. Puninskii
Keyword(s):  

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