Gorenstein weak global dimension is symmetric

2021/03/17 by Christensen, Lars Winther, Estrada, Sergio, Thompson, Peder · 2 citations
#16E10 #16E65 #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2103.09703

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.

Cited by

• Gorenstein versions of type Φ groups and some Gcd-cd, Ghd-hd coincidences
• Monoidal model structures over infinite groups

Related

• Weak Gorenstein global dimension
• Note on (weak) Gorenstein global dimensions
• Five theorems on Gorenstein global dimensions
• Global Gorenstein dimensions
• Gorenstein global dimension of Semi-primary rings