科研之友
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摘要
In this note, we mainly discuss the Gorenstein Priifer domains. It is shown that a domain is a Gorenstein Priifer domain if and only if every finitely generated ideal is Gorenstein projective. It is also shown that a domain is a PID (resp., Dedekind domain, Bezout domain) if and only if it is a Gorenstein Prufer UFD (resp., Krull domain, GCD domain).
