For a module-finite algebra over a commutative noetherian ring, we give a complete description of flat cotorsion modules in terms of prime ideals of the algebra, as a generalization of Enochs’ result for a commutative noetherian ring. We then explain several important roles of complexes of flat cotorsion modules and give some applications. The first half of this talk is based on joint work with Ryo Kanda and the second half is partly based on joint work with Peder Thompson.
The first half of this talk relates to this arXiv paper.
This talk was part of the one-day meeting Triangulated Categories in Representation Theory, which took place online in 2021.
