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On the Derived Categories and Quasitilted Algebras
(SPRINGER, 2009)
In this paper, we present some results on the bounded derived category of Artin algebras, and in particular on the indecomposable objects in these categories, using homological properties. Given a complex X*, we consider ...
Some equivalences between homotopy and derived categories
(Universidad de AllahabadÁlgebra Teoría de Números y Aplicaciones: ERMÁlgebra U de AAllahabad, India, 2022)
Irreducible morphisms of categories of complexes
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009)
We study irreducible morphisms of complexes. In particular, we show that the irreducible morphisms having one (finite) irreducible submorphism fall into three canonical forms and we give necessary and sufficient conditions ...
The Brauer-Picard group of the representation category of finite supergroup algebras
(2014)
We develop further the techniques presented in a previous article (M. Mombelli. Abh. Math. Semin. Univ. Hamb. 82 (2012), 173–192), to study bimodule categories over the representation categories of arbitrary finite-dimensional ...
On Non-Homogeneous Tubes and Components of Type ℤA∞ in the Bounded Derived Category
(Springer, 2021-03)
By the knitting technique introduced to build the Auslander-Reiten quiver of the category of complexes of fixed size, it is possible to obtain the Auslander-Reiten triangles in the bounded derived category. To show this ...
Invertible bimodule categories over the representation category of a Hopf algebra
(2014-02-12)
For any finite-dimensional Hopf algebra H we construct a group homomorphism
BiGal (H) → BrPic(Rep(H)), from the group of equivalence classes of H-biGalois
objects to the group of equivalence classes of invertible exact ...
Dualidade de Tannaka para biálgebras
(Universidade Federal de Santa MariaBrasilMatemáticaUFSMPrograma de Pós-Graduação em MatemáticaCentro de Ciências Naturais e Exatas, 2015-08-14)
Não foi possível inserir o abstract.
Morphisms in the infinite radical of the bounded derived category
(Academic Press Inc Elsevier Science, 2021-12)
We study necessary conditions for a morphism in the category of complexes of fixed size Cn(proj A), with n \geq 2 and A an artin algebra, to belong to the infinite radical of K^{-,b}(projA).As an application we consider ...
Uma construção alternativa para o funtor de Happel
(Pós-Graduação em MatemáticaUniversidade Federal de Sergipe, 2018)
Fundamental domains of cluster categories inside module categories
(Academic Press Inc Elsevier Science, 2012-05)
Let H be a finite dimensional hereditary algebra over an algebraically closed field, and let CH be the corresponding cluster category. We give a description of the (standard) fundamental domain of CH in the bounded derived ...