Enhanced Koszul properties in Galois cohomology. (arXiv:1811.09272v1 [math.RA])

We prove that, under a well known conjecture in the finitely generated case, Galois cohomology satisfies several surprisingly strong versions of Koszul properties. We point out several unconditional results which follow from our work. We show how these enhanced versions are preserved under certain natural operations on algebras, generalising several results that were previously established only in the commutative case. 查看全文>>