75,591 research outputs found
Originality of thought and method in West African Islamic teaching: a Fulfulde example
African Studies Center Working Paper No. 3
On superheight conditions for the affineness of open subsets
In this paper we consider the open complement U of a hypersurface Y=V(a) in
an affine scheme X. We study the relations between the affineness of U, the
intersection of Y with closed subschemes, the property that every closed
surface in U is affine, the property that every analytic closed surface is
Stein and the superheight of the defining ideal a.Comment: 20 page
Lifting chains of prime ideals
We give an elementary proof that for a ring homomorphism A -> B, satisfying
the property that every ideal in A is contracted from B, the following property
holds: for every chain of prime ideals p_0 \subset ... \subset p_r in A there
exists a chain of prime ideals q_0 \subset ... \subset q_r in B such that q_i
\cap A = p_i.Comment: to appear in Journal of pure and applied algebr
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