2021•Communications in AlgebraOpen access

Localization of complete intersections

Tony J. Puthenpurakal

Abstract

Let (A,m) be an abstract complete intersection and let P be a prime ideal of A. In [1 Avramov, L. L. (1975). L. L. Flat morphisms of complete intersections (Russian). Dokl. Akad. Nauk SSSR. 225(1):11–14. [Google Scholar]] Avramov proved that AP is an abstract complete intersection. In this article, we give an elementary proof of this result.

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Key concepts: Intersection (aeronautics), Ideal (ethics), Prime (order theory), Complete intersection, Mathematics, Elementary proof, Combinatorics, Pure mathematics