On the -theory of pullbacks

M Land, G Tamme - Annals of Mathematics, 2019 - projecteuclid.org
… are periodic cyclic homology HP(−/k) over commutative Q-… about relative K-groups of
nilpotent ideals to questions about … quasi-coherent sheaf of connective algebras over the base …

Floer homology and Novikov rings

H Hofer, DA Salamon - The Floer memorial volume, 1995 - Springer
… The key observation is that the Floer homology groups of the loop space form a module
over Novikov's ring of generalized Laurent series. The main difficulties to overcome are the …

Classes of extensions and resolutions

MCR Butler, G Horrocks - … of the Royal Society of London …, 1961 - royalsocietypublishing.org
… which split over a given subring of the ring of operators (we … In this paper we study only relative
homological algebras on an … to a subgroup and of the homology of coherent sheaves. In § …

On Strongly Nonnil-Coherent Rings and Strongly Nonnil-Noetherian Rings

K Alhazmy, FAA Almahdi, Y El Haddaoui… - Bulletin of the Iranian …, 2024 - Springer
… strongly nonnil-coherent rings are nonnil-coherent. Question … every nonnil-coherent ring is
always strongly nonnil-coherent?. … the homological methods in strongly nonnil-coherent as in …

Ideals in triangulated categories: phantoms, ghosts and skeleta

JD Christensen - Advances in Mathematics, 1998 - Elsevier
… inducing the zero map of homology groups and find a natural … the derived category of a ring
and give an example showing … category of A modules over an A ring spectrum is a universal …

Homological dimensions of complexes related to cotorsion pairs

C Wei, L Wang, H Qiao - Turkish Journal of Mathematics, 2014 - journals.tubitak.gov.tr
… D) for i ≥ 1 will denote the groups we get from the right derived functor of … In the following,
we will define relative homologicalrings includes strictly that of right coherent rings and that of …

On certain homological invariants of groups

J Asadollahi, A Bahlekeh, A Hajizamani, S Salarian - Journal of Algebra, 2011 - Elsevier
… the other homological invariants that assigned to a group. While … Moreover, we show that
over a locally finite group … the above theorem, over a coherent integral group ring Z , we have …

Gorenstein FP-injective and Gorenstein flat modules

L Mao, N Ding - Journal of Algebra and Its Applications, 2008 - World Scientific
homological properties over Noetherian rings to coherent … sided coherent ring, we prove
that R is a 2-Gorenstein ring if … is proved for modules over n-FC rings (see Theorem 5.3). Next …

[HTML][HTML] Derived Koszul duality and TQ-homology completion of structured ring spectra

M Ching, JE Harper - Advances in Mathematics, 2019 - Elsevier
… that starts from the TQ -homology groups TQ ⁎ ( X ) of an O -… , producing a relative notion of
homology” for commutative … : A ⇄ B : U determines a homotopy coherent comonad K whose …

Witt groups of sheaves on topological spaces

J Woolf - Commentarii Mathematici Helvetici, 2008 - ems.press
… Witt groups of the latter form a generalised homology theory … groups for the derived category
Dlf(S) of locallyfree coherent … We work relative to a fixed polyhedron X. Let f : Y → X be a …