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Self-injective dimensions under stable equivalences of Morita type

A mix of human-written and AI-generated textHuman understanding: some partsmath.RT — Representation Theorymath.RA — Rings and Algebras

Contributed by Qiyue Tang ↗

Version 1 / Nov 10, 2026 / CC BY 4.0

Abstract

Stable equivalences of Morita type preserve the left and right self-injective dimensions of Artin algebras. The defining tensor functors can send injective modules to noninjective modules.

Provenance statement

The proof and counterexample were developed as part of a nine-hour research session using GPT-6-Pro. Codex was used to audit the arguments and revise the exposition. A Rethlas-OSV review report will be added later.

References

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Version history

  1. v1 · 4 pagesSubmitted by Qiyue TangInitial depositCurrentNov 07, 2026