A construction of relative left derived functors similar to $\operatorname {Tor}$
Volume 158 / 2019
Colloquium Mathematicum 158 (2019), 1-20
MSC: Primary 16D80; Secondary 16E05, 16E10, 16E30.
DOI: 10.4064/cm7577-7-2018
Published online: 31 May 2019
Abstract
We use the notion of $\mathcal {S}$-purity and methods of relative homological algebra to construct balanced left derived functors similar to $\operatorname {Tor}$.