Finite-sum conjecture for morphisms between sheet modules

From papers

A sheet module is the image of a decorous submodule in a decorous quotient of a representable projective, as defined in the paper. The elementary and multi-elementary morphisms are the morphisms between sheet modules introduced by analyzing images of generators and combining elementary morphisms. Finite-sum conjecture. Every morphism between sheet modules is a finite sum of multi-elementary morphisms. This conjecture proposes a complete description of morphisms between sheet modules in terms of the elementary constructions developed in the paper; its status is not resolved in the supplied text.

Progress summary

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Sources & referencesView supporting material

Primary source

Job Daisie Rock and Hugh Thomas, “Preprojective categories of type A”, arXiv:2512.09618 (2025).

Solutions 0

No solutions have been posted yet.