Acta Mathematica Vietnamica
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ON A GENERALIZATION OF EXCELLENT EXTENSIONS
WEIMIN XUEpp. 31-38
Abstract
We introduce almost excellent extensions of rings. If $S\geq R$ is such an extension, we study (1) the relation between properties of an $S$-module $M_S$ and the $R$-module $M_R$; and (2) the relation between properties of the ring $S$ and the ring $R$.