Year: 2026
Type: preprint
Abstract: We give a counterexample to completeness descent from ideal cotorsion pairs to their objects. A radical-square-zero algebra on the two-cycle gives a finite-dimensional example. The construction is intrinsically non-weakly-idempotent-complete.
Source: arXiv (Cornell University)
Authors: Wang, Qikai, Wang, Yuxiao, Zhu, Haiyan
Institutions: Westlake University, Zhejiang University of Technology
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G8984849207
OpenAlex ID: W7213341512