JP Journal of Algebra, Number Theory and Applications
Volume 24, Issue 2, Pages 159 - 171
(March 2012)
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ON GRADED PRINCIPAL IDEAL DOMAINS
William Todd Ashby
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Abstract: In Caenepeel and Oystaeyen’s [1] discussion of Bauer groups and the cohomology of graded rings, the topic of commutative rings arises. Specifically, certain results arise regarding graded principal ideal domains and graded Dedekind domains. Fossum and Foxby in [2] classify the graded fields. Motivated by this and Caenepeel and Oystaeyen’s discussion, this paper will delve into the structure of graded principal ideal domains. |
Keywords and phrases: graded rings, graded principal ideal domains. |
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