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Communications in Algebra Volume 44, 2016 - Issue 10
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Original Articles

Divisible Is Injective over Krull Domains

Said El BaghdadiDepartment of Mathematics, Beni Mellal University, Beni Mellal, Morocco
,
Hwankoo KimSchool of Computer and Information Engineering, Hoseo University, Asan, South KoreaCorrespondence[email protected]
&
Fanggui WangCollege of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan, China
Pages 4294-4301 | Received 05 Jan 2015, Published online: 03 Jun 2016
 
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Abstract

It is well known that the equivalence of injectivity and divisibility characterizes the Dedekind domains. In this note, we shed more light on this problem and show that a similar property characterizes Krull domains and π-domains.

2010 Mathematics Subject Classification:

ACKNOWLEDGMENT

The authors would like to thank the referee for his/her comments and suggestions which resulted in an improved version of the article.

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