Structure sheaves of definable additive categories |
| |
Authors: | Mike Prest Ravi Rajani |
| |
Affiliation: | School of Mathematics, Alan Turing Building, University of Manchester, Manchester M13 9PL, UK |
| |
Abstract: | We prove that the 2-category of small abelian categories with exact functors is anti-equivalent to the 2-category of definable additive categories. We define and compare sheaves of localisations associated to the objects of these categories. We investigate the natural image of the free abelian category over a ring in the module category over that ring and use this to describe a basis for the Ziegler topology on injectives; the last can be viewed model-theoretically as an elimination of imaginaries result. |
| |
Keywords: | Primary, 16D90, 18E10, 18E15, 18F20 Secondary, 03C60, 16D50, 18E35 |
本文献已被 ScienceDirect 等数据库收录! |
|