Re: Noetherian??
- From: quasi <quasi@xxxxxxxx>
- Date: Tue, 26 Jul 2005 16:54:34 -0700
On Tue, 26 Jul 2005 16:44:56 -0700, quasi <quasi@xxxxxxxx> wrote:
>Let T be the ring R+xR[x,y] and let J be xR[x,y] so J is an ideal of
>T. Does the ideal (x) in T contain the element xy? If so, show it. If
>not then (x) is a proper ideal of (x,xy) which is a subideal of J,
>where all ideals are viewed as ideals of T.
To correct the terminology, change the sentence:
>If not then (x) is a proper ideal of (x,xy) which is a subideal of J,
>where all ideals are viewed as ideals of T.
to this:
>If not, then the ideal (x) is a proper subset of the ideal (x,xy) which is a subset of the ideal J,
>where all ideals are viewed as ideals of T
To say (x) is an ideal of (x,xy) is confusing since (x,xy) is just an
ideal of T.
quasi
.
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