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Some Remarks on Regular Sequences and Complete Intersections

Tsakiris, Manolis C.
arXiv (All) · Papers
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algebraic-geometrycommutative-algebra
We give an ideal in a polynomial ring in three variables, generated by three elements and having height equal to three, but for which no permutation of its generators is a regular sequence. We prove that in a polynomial ring over an infinite field, an ideal of height n generated by n polynomials, al
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