Gorenstein weak global dimension is symmetric
Date
2021
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Abstract
We study the Gorenstein weak global dimension of associative rings and its relation to the Gorenstein global dimension. In particular, we prove the conjecture that the Gorenstein weak global dimension is a left-right symmetric invariant – just like the (absolute) weak global dimension.
Description
This is the peer reviewed version of this article, which has been published in final form at https://doi.org/10.1002/mana.202100141. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited.
Keywords
Gorenstein Flat Dimension, Gorenstein Flat-Cotorsion Dimension, Gorenstein Global Dimension, Gorenstein Weak Global Dimension
Citation
Christensen, LW, Estrada, S, Thompson, P. Gorenstein weak global dimension is symmetric. Mathematische Nachrichten. 2021; 294: 2121–2128. https://doi.org/10.1002/mana.202100141