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Communications in Algebra Volume 38, 2010 - Issue 8
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Original Articles

Semistar GCD Domains

Said El-Baghdadi Department of Mathematics, Faculté des Sciences et Techniques, Beni Mellal, MoroccoCorrespondence[email protected]
Pages 3029-3044 | Received 11 Jan 2008, Published online: 18 Aug 2010
 
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Abstract

We develop a theory of GCD domains with respect to a semistar operation. We present an axiomatic approach which covers various fundamental classes of GCD domains. This allows us to generalize and improve several classical properties of Bezout and GCD domains.

2000 Mathematics Subject Classification:

Notes

Communicated by I. Swanson.

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