Minimal modules over prüfer rings

V. A. Puninskaya; G. E. Puninskii

doi:10.1007/bf01980250

Minimal modules over prüfer rings

Algebra and Logic ◽

10.1007/bf01980250 ◽

1991 ◽

Vol 30 (5) ◽

pp. 361-368 ◽

Cited By ~ 2

Author(s):

V. A. Puninskaya ◽

G. E. Puninskii

Keyword(s):

Prüfer Rings

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Prüfer rings

Journal of Number Theory ◽

10.1016/0022-314x(73)90066-8 ◽

1973 ◽

Vol 5 (2) ◽

pp. 132-138

Author(s):

Paul Camion ◽

L.S. Levy ◽

H.B. Mann

Keyword(s):

Prüfer Rings

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Prüfer rings of finite character.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1971.247.92 ◽

1971 ◽

Vol 1971 (247) ◽

pp. 92-96

Keyword(s):

Prüfer Rings

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Prüfer rings

Multiplicative Ideal Theory in Commutative Algebra ◽

10.1007/978-0-387-36717-0_4 ◽

2006 ◽

pp. 55-72 ◽

Cited By ~ 11

Author(s):

Silvana Bazzoni ◽

Sarah Glaz

Keyword(s):

Prüfer Rings

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On Φ-projective modules and Φ-Prüfer rings

Communications in Algebra ◽

10.1080/00927872.2020.1729362 ◽

2020 ◽

Vol 48 (7) ◽

pp. 3079-3090

Author(s):

Wei Zhao ◽

Fanggui Wang ◽

Xiaolei Zhang

Keyword(s):

Projective Modules ◽

Prüfer Rings

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Pullbacks of maximally (strong) Prüfer rings

Communications in Algebra ◽

10.1080/00927872.2018.1508588 ◽

2019 ◽

Vol 47 (4) ◽

pp. 1608-1618

Author(s):

Jason G. Boynton

Keyword(s):

Prüfer Rings

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The Complete Quotient Ring of Images of Semilocal Prüfer Domains

Canadian Journal of Mathematics ◽

10.4153/cjm-1977-092-x ◽

1977 ◽

Vol 29 (5) ◽

pp. 914-927 ◽

Cited By ~ 1

Author(s):

John Chuchel ◽

Norman Eggert

Keyword(s):

Homomorphic Image ◽

Noetherian Ring ◽

Quotient Ring ◽

Local Rings ◽

Topological Ring ◽

Prüfer Domain ◽

Prufer Domains ◽

Prüfer Domains ◽

Quotient Rings ◽

Prüfer Rings

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.

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