Gorenstein weak global dimension is symmetric


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.


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Gorenstein Flat Dimension, Gorenstein Flat-Cotorsion Dimension, Gorenstein Global Dimension, Gorenstein Weak Global Dimension


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