Year: 2026
Type: preprint
Abstract: We establish a Kaplansky-Walker type lemma for idempotent complete additive categories with direct sums. It will be used in compactly generated triangulated categories to provide a version of Kaplansky's theorem on projective modules and an isomorphism-refinement result for direct sums of countable objects.
Source: arXiv (Cornell University)
Authors: Breaz, Simion, Rafiliu, Cristian
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G2532444202
OpenAlex ID: W7222347609