Submission date: 28 September 2021

Abstract:

If D is a definable category then it may contain no nonzero finitely presented modules but, by a result of Makkai, there is a lim_→-generating set of strictly D-atomic modules. These modules share some key properties of finitely presented modules.
We consider these modules in general and then in the case that D is the category of modules of some fixed irrational slope over a tubular algebra.

Mathematics Subject Classification: 18E45 (Primary) 03C60, 16D90, 16G20, 18E08, 18E10 (Secondary)

Keywords and phrases:

Full text arXiv 2109.13750: pdf, ps.