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Science Forum Index » Mathematics Forum » A property of properties of rings
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| Guest |
 Posted: Thu May 01, 2008 4:38 am |
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Hello,
is there a name for the properties P of commutative unitary rings
which satisfy the equivalence
(All localizations at prime ideals have got property P <----> The ring
has got property P) ?
For example "reduced" should be such a property.
Thanks,
S. |
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| Jannick Asmus |
| Posted: Thu May 01, 2008 9:45 am |
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Guest
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On 01.05.2008 16:38, sanchopancho80@web.de wrote:
Quote: Hello,
is there a name for the properties P of commutative unitary rings
which satisfy the equivalence
(All localizations at prime ideals have got property P <----> The ring
has got property P) ?
For example "reduced" should be such a property.
Thanks,
S.
Such a property P can be called a _local_ property as P can be checked
in the local rings of the ring R.
--
Best wishes,
J. |
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