Flat covers and cotorsion envelopes of sheaves |
| |
Authors: | Edgar Enochs Luis Oyonarte |
| |
Institution: | Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027 ; Departamento de Álgebra y Análisis Matemático, Universidad de Almería, 04071 Almería, Spain |
| |
Abstract: | In this paper we prove that any sheaf of modules over any topological space (in fact, any -module where is a sheaf of rings on the topological space) has a flat cover and a cotorsion envelope. This result is very useful, as we shall explain later in the introduction, in order to compute cohomology, due to the fact that the category of sheaves ( -modules) does not have in general enough projectives. |
| |
Keywords: | Flat (pre)cover cotorsion (pre)envelope (pre)sheaf $\mathcal{O}$-(pre)module Grothendieck category |
|
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 |
| 点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文 |