[PDF][PDF] A computation of prismatic Dieudonné module

S Mondal - preprint, 2022 - personal.math.ubc.ca
… referee: the homology groups Hi(Q,Fp) are computed as Tori … of absolute and relative
prismatic cohomology. Since the … -coherent sheaves on BGm is exact. But the category of quasi-…

Homological and combinatorial aspects of virtually Cohen–Macaulay sheaves

C Berkesch, P Klein, MC Loper… - Transactions of the …, 2021 - Wiley Online Library
… the homological dimension of the associated coherent sheaf. … to separate the variables into
groups based on the product … of complexes associated with Stanley–Reisner rings in order …

Multipath cohomology of directed graphs

L Caputi, C Collari, S Di Trani - arXiv preprint arXiv:2108.02690, 2021 - arxiv.org
… Computations can be done with relative ease if one considers … the following chain of
isomorphisms of homology groups: … a special type of poset coherently assigned to each digraph, …

Homological Quantum Error Correction with Torsion

S Novák - arXiv preprint arXiv:2405.03559, 2024 - arxiv.org
… to reason about homological CSS codes on qudits. In Chapter 4, we review some theory of
rings and … This means we can reason about abelian groups and Z-modules interchangeably. …

[PDF][PDF] Flat modules and coherent endomorphism rings relative to some matrices

Y Zeng - AIMS Mathematics, 2023 - aimspress.com
… Motivated by [2–6], m and n are superseded by two (possibly infinite) cardinal numbers α
and β when investigating some homological properties of modules and rings so that some …

Coherent sheaves on surfaces, COHAs and deformed -algebras

A Mellit, A Minets, O Schiffmann, E Vasserot - arXiv preprint arXiv …, 2023 - arxiv.org
… trigonometric W1+∞-algebra associated to the ring H∗(S, Q). … (rather than relative) Borel-Moore
homology. We believe that … and all homology groups acquire module structure over RT = …

Relative cohomology of complexes II: Vanishing of relative cohomology

Z Liu, Z Di, B Lu - Journal of Algebra, 2021 - Elsevier
… role in the theory of homological algebra, and have been … a ring such that GP ⊆ GF (eg left
coherent and right n-perfect … We will use the relative cohomology groups Ext GP n ( X , Y ) to …

Topological cyclic homology

L Hesselholt, T Nikolaus - Handbook of homotopy theory, 2020 - taylorfrancis.com
… The appropriate definition of cyclic homology relative to S was … group over R, there is a
canonical p-typical λ-ring structure … quasi-coherent sheaves on the stack defined by the homology

Algebraic K-theory and generalized stable homotopy theory

D Gepner - Cyclic Cohomology at 40: Achievements and Future …, 2023 - books.google.com
… homotopy coherent nerve functor, we obtain a functorial way of passing from homological
There is a version of Hochschild homology relative to any commutative ring (or ring spectrum) …

On the Coherency of Completed Group Algebra

D Burns, Y Kuang, D Liang - arXiv preprint arXiv:2401.05506, 2024 - arxiv.org
… ’ conditions introduced by Costa in [9], with ‘1-coherence’ being equivalent to the classical
notion of coherence. In particular, we recall that n-coherent rings, the definition of which is …