Abstract
We prove the vanishing of the Koszul homology group Hμ(Kos(M)μ), where μ is the minimal number of generators of M. We give a counterexample that the Koszul complex of a module is not always acyclic and show its relationship with the homology of commutative rings.
Citation
José M. Giral. Francesc Planas-Vilanova. "A note on the acyclicity of the Koszul complex of a module." Ark. Mat. 45 (2) 273 - 278, October 2007. https://doi.org/10.1007/s11512-007-0043-z
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