Results 41 to 50 of about 662 (82)

On derived equivalence classification of gentle two-cycle algebras [PDF]

open access: yes, 2007
We classify, up to derived (equivalently, tilting-cotilting) equivalence all nondegenerate gentle two-cycle algebras.
Bobinski, Grzegorz, Malicki, Piotr
core   +3 more sources

Cotorsion pairs, torsion pairs, and Σ-pure-injective cotilting modules

open access: yesJournal of Pure and Applied Algebra, 2010
Let \(R\) be a ring with identity element, and let \({\mathcal M}od\)-\(R\) be the category of unital right \(R\)-modules. The aim of this paper is to investigate cotorsion pairs and torsion pairs induced by a cotilting right \(R\)-module, briefly called cotilting cotorsion pairs and cotilting torsion pairs, respectively.
COLPI, RICCARDO   +2 more
openaire   +3 more sources

Projective-injective modules, Serre functors and symmetric algebras [PDF]

open access: yes, 2005
We describe Serre functors for (generalisations of) the category O associated with a semi-simple complex Lie algebra. In our approach, projective-injective modules play an important role.
Mazorchuk, Volodymyr   +1 more
core   +2 more sources

Explicit HRS-Tilting

open access: yes, 2008
For an abelian category $A$ equipped with a torsion pair, we give an explicit description for the abelian category $B$ introduced by Happel-Reiten-Smalo, and also for the category of chain complexes $Ch(B)$ and the derived category $D(B)$ of $B$. We also
Noohi, Behrang
core   +1 more source

Finitely cotilting modules

open access: closedCommunications in Algebra, 2000
Over an arbitrary ring, we consider cotilting modules endowed with some finiteness conditions. We show that they correspond to pairs of dualities between certain cat-egories consisting of finitely presented modules. This extends the Cotilting Theorem proved by Colby for the noetherian case.
Lidia Angeleri Hügel
exaly   +6 more sources

FP-Cosilting and FP-Cotilting Modules

open access: closedBulletin of the Iranian Mathematical Society, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lixin Mao
exaly   +4 more sources

Cotilting modules with finite left perpendicular categories

open access: closedScience China Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhiwei Li, Pu Zhang
exaly   +4 more sources

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