Affine curves on which every point is a set-theoretic complete intersection
نویسندگان
چکیده
منابع مشابه
Set Theoretic Complete Intersection for Curves in a Smooth Affine Algebra
Let A be a regular ring of dimension d ( d ≥ 3 ) containing an infinite field k. Let n be an integer such that 2n ≥ d+3. Let I be an ideal in A of height n and P be a projective Amodule of rank n. Suppose P ⊕A ≈ A and there is a surjection α: P → I. It is proved in this note that I is a set theoretic complete intersection ideal. As a consequence, a smooth curve in a smooth affine C-algebra with...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1984
ISSN: 0021-8693
DOI: 10.1016/0021-8693(84)90163-7