Periodic modules and acyclic complexes

S Bazzoni, M Cortés-Izurdiaga, S Estrada - Algebras and Representation …, 2020 - Springer
complexes and in Gorenstein homological algebra. For example we show that every acyclic
complex of cotorsion modules … a complex of cotorsion modules and F is an acyclic complex

Periodicity and cyclic homology. Para--modules and perturbation lemmas

R Ponge - Journal of Noncommutative Geometry, 2020 - ems.press
… -S-module does not provide us with a chain complex, and so … for para-Smodules and
parachain complexes of the basic … T is the periodic complex of the H-unital precyclic module CT …

Homotopy categories of totally acyclic complexes with applications to the flat-cotorsion theory

LW Christensen, S Estrada… - … combinatorial methods in …, 2020 - books.google.com
… We show in Theorem 5.6 that this subcategory is equivalent to the homotopy category of
F -totally acyclic complexes of flat-cotorsion A -modules, and thus to the stable category of …

On the complexity of acyclic modules in automata networks

K Perrot, P Perrotin, S Sené - arXiv preprint arXiv:1910.07299, 2019 - arxiv.org
… in the computation said modules perform, and can be used to wire modules with each other.
… and study the specific case of acyclic modules. These modules prove to be well described in …

-Periodic complexes over regular local rings

TJ Puthenpurakal - arXiv preprint arXiv:2403.09149, 2024 - arxiv.org
… As X• is acyclic we have that Pn is adth-syzygy of Pn+d (here d = dim A). So Pn is a projective
module. It is then readily proved that the identity map on X• is null-homotopic. So X• = 0 in K…

Fp-projective periodicity

S Bazzoni, M Hrbek, L Positselski - Journal of Pure and Applied Algebra, 2024 - Elsevier
acyclic complexes. It is known that any flat Proj -periodic module is projective, any fp-injective
Inj -periodic … , we show that every FpProj -periodic module is weakly fp-projective. The …

Acyclic complexes of injectives and finitistic dimensions

L Shaul - arXiv preprint arXiv:2303.08756, 2023 - arxiv.org
complex of injective A-modules which is acyclic is null-homotopic. We show that if A is left and
right noetherian and has a dualizing complex, … of acyclic complexes of injective modules to …

Totally acyclic approximations

PA Bergh, DA Jorgensen, WF Moore - Applied Categorical Structures, 2021 - Springer
acyclic complexes over a Noetherian ring R by simpler totally acyclic complexes, possibly
even periodic … By an R-complex C we mean a sequence of left R-module homomorphisms …

Model structures and relative Gorenstein flat modules and chain complexes

S Estrada, A Iacob, MA Pérez - Categorical, homological and …, 2020 - books.google.com
complexes of left R -modules, study other model structures on complexes constructed from
relative Gorenstein flat modules, … and ( Y⊗.− )-acyclic complexes are defined in the same way …

Projective modules and the homotopy classification of -complexes

J Nicholson - arXiv preprint arXiv:2004.04252, 2020 - arxiv.org
complex is an n-dimensional CW-complex with fundamental group G and whose universal
cover is (n - 1)-connected. If G has periodic … finite (G, n)-complexes and the orbits of the stable …