JP Journal of Algebra, Number Theory and Applications
Volume 21, Issue 1, Pages 41 - 44
(May 2011)
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CORRIGENDUM TO MINIMAL PRIME IDEALS OF ORE EXTENSION OVER A COMMUTATIVE DEDEKIND DOMAIN AND ITS APPLICATION
Amir Kamal Amir, Hidetoshi Marubayashi, Pudji Astuti and Intan Muchtadi-Alamsyah
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Abstract: Let
?be an Ore extension over a commutative Dedekind domain D, where s is an automorphism of D and d is a left s-derivation of D. In [1], minimal prime ideals of R were described, but the description carried a flaw in the proof and it did not describe all minimal prime ideals as pointed out by one of the authors in this paper. In this corrigendum, we provide a corrected proof and an application to the group of fractional R‑ideals. |
Keywords and phrases: minimal prime, Ore extension, fractional. |
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