On the syzygy part of Koszul homology on certain ideals (Q2266741)

The author studies the syzygy part \(\tilde H\) for a finitely generated module M over a Noetherian local ring. If \(a_ 1,...,a_ n\) is an unconditioned d-sequence for M in the sense of \textit{C. Huneke} [cf. Adv. Math. 56, 295-318 (1985)], then \(a_ 1,...,a_ n\) is \(\tilde H_ n\)- faithful for every positive n. Also, the property of M to be a Buchsbaum module, i.e. every system of parameters is a d-sequence for M, is characterized in these terms.