A Counterexample to the Open Question on Object Ideals
Qikai Wang, Yuxiao Wang, Haiyan Zhu
math.CTarXiv:2609.14382
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.
Create a lesson
Related papers
Gabriel--Zisman Localizations, Products, Coproducts, and Product Categories
Chencheng Zhang
An abelian envelope without the quotient property
Johannes Flake, Jonathan Gruber, Thorsten Heidersdorf
On Models of the Planar Lambda Calculus
Chad Nester
Mixing Extriangulated Model Structures
Junpeng Ren, Xianhui Fu
Grothendieck Topologies Are Extensional Presentations of the Form of Sieves
Roy Ferguson, Zurab Janelidze
Characterizing (Co)Free Dagger Categories
Jean-Simon Pacaud Lemay