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Author

Qi-Kai Wang

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Preprint Sep 2026

A Counterexample to the Open Question on Object Ideals

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.

Qi-Kai Wang, Yu-Xiao Wang, Hai-Yan Zhu · 1 citation · ⚡1

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