A construction of relatively pure submodules
Category Theory
2013-10-31 v2
Abstract
We reconsider a classical theorem by Bican and El Bashir, which guarantees the existence of non-trivial relatively pure submodules in a module category over a ring with unit. Our aim is to generalize the theorem to module categories over rings with several objects. As an application we then consider the special case of alpha-pure objects in such module categories.
Cite
@article{arxiv.1111.6797,
title = {A construction of relatively pure submodules},
author = {Alexander Schmeding},
journal= {arXiv preprint arXiv:1111.6797},
year = {2013}
}
Comments
11 pages, corrected several typos, some references and explanations have been added, two errors in the proof of the main theorem have been corrected, the results remain unchanged