G. W. Chang

Department of Mathematics Education‎, ‎Incheon National University‎, ‎Incheon 406-772‎, ‎Republic of Korea.

[ 1 ] - Locally GCD domains and the ring $D+XD_S[X]$

An integral domain $D$ is called a emph{locally GCD domain} if $D_{M}$ is aGCD domain for every maximal ideal $M$ of $D$. We study somering-theoretic properties of locally GCD domains. E.g., we show that $%D$ is a locally GCD domain if and only if $aDcap bD$ is locally principalfor all $0neq a,bin D$, and flat overrings of a locally GCD domain arelocally GCD. We also show that the t-class group...

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