dominates (local ring)
DominatesLocalRing
2008-05-26 10:17:16
2008-05-26 10:17:16
Definition
dominates
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\newcommand{\mb}[1]{\ensuremath{\mathbb{#1}}}
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A local ring $ (S,\mf{n}) $ is said to \emph{dominate} a \PMlinkname{local ring}{LocalRing} $ (R,\mf{m}) $ if $ R $ is a subring of $ S $, and $ \mf{n} \cap R = \mf{m} $.