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dominates (local ring) (Definition)

A local ring $ (S,\ensuremath{\mathfrak{n}}) $ is said to dominate a local ring $ (R,\ensuremath{\mathfrak{m}}) $ if $ R $ is a subring of $ S $, and $ \ensuremath{\mathfrak{n}} \cap R = \ensuremath{\mathfrak{m}} $.



"dominates (local ring)" is owned by sjm1979.
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Cross-references: subring, local ring
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This is version 1 of dominates (local ring), born on 2008-05-26.
Object id is 10628, canonical name is DominatesLocalRing.
Accessed 378 times total.

Classification:
AMS MSC: 13H99 (Commutative rings and algebras :: Local rings and semilocal rings :: Miscellaneous)
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