A construction of relatively pure submodules

Details A construction of relatively pure submodules A construction of relatively pure submodules

2011-11-29

arxiv.org/abs/1111.6797v1

Mathematics

Category Theory

10 pages

Scientific paper

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.

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