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Math Forum » Discussions » sci.math.* » sci.math.research

Topic: nonhereditary module
Replies: 3   Last Post: Jun 27, 2007 9:51 PM

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Steven E. Landsburg

Posts: 154
Registered: 12/8/04
Re: nonhereditary module
Posted: Jun 27, 2007 9:51 PM
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In article <f5tiai$40d$1@dizzy.math.ohio-state.edu> Ignat Soroko <ignat.soroko@gmail.com> writes:
>
>What is the simplest example of a projective module having a submodule
>which is not projective?

k a field.
R=k[x,y]
P=R as a (projective) module over itself
the ideal (x,y) is a submodule that is not projective.

Steven E. Landsburg
www.landsburg.com
.


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Steven E. Landsburg
http://www.landsburg.com/about2.html

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