University of Jiroft | hamidreza dorbidi

Research

Title	Strongly Affine Schemes
Type	Presentation
Keywords	Affine scheme, Closed subscheme, Open subscheme
Researchers	hamidreza dorbidi

Abstract

It is well known that every closed subscheme of an affine scheme is affine[1, Exercise 3.11.b]. In this paper we study the dual problem for open subschemes. A scheme is called strongly affine scheme if all open subschemes of it are affine. We prove that an affine noetherian scheme of dimension less than two is strongly affine.