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A reduction of the Gorenstein symmetry conjecture to gendo-symmetric algebras

A mix of human-written and AI-generated textHuman understanding: some partsmath.RT — Representation Theory

Contributed by Qiyue Tang

Version 1 / Oct 20, 2026 / CC BY 4.0

Abstract

We reduce the Gorenstein symmetry conjecture for Artin algebras to gendo-symmetric algebras relative to Artin duality

Provenance statement

Some of the results in this paper were obtained by AI.

References

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  4. M. Fang and S. Koenig, Gendo-symmetric algebras, canonical comultiplication, bar cocomplex and dominant dimension , Trans. Amer. Math. Soc. 368 (2016), no. 7, 5037--5055. doi:10.1090/tran/6504 (https://doi.org/10.1090/tran/6504).DOI
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Version history

  1. v1Submitted by Qiyue TangInitial depositSupersededOct 19, 2026
  2. v2Submitted by Qiyue TangSubmitted as a new versionCurrentOct 27, 2026