On the infinite radical of a module category
J Schröer - Proceedings of the London Mathematical Society, 2000 - cambridge.org
Let be an algebraically closed field, and let-algebra. The first aim of classsical
representation theory was to classify all indecomposable-modules, but the homomorphisms …
representation theory was to classify all indecomposable-modules, but the homomorphisms …
[HTML][HTML] Bounded submodules of modules
M Schmidmeier - Journal of Pure and Applied Algebra, 2005 - Elsevier
Let m, n be positive integers such that m⩽ n and k be a field. We consider all pairs (B, A)
where B is a finite dimensional Tn-bounded k [T]-module and A is a submodule of B which is …
where B is a finite dimensional Tn-bounded k [T]-module and A is a submodule of B which is …
[HTML][HTML] The bounded derived categories of an algebra with radical squared zero
R Bautista, S Liu - Journal of Algebra, 2017 - Elsevier
Let Λ be an elementary locally bounded linear category over a field with radical squared
zero. We shall show that the bounded derived category D b (Mod b Λ) of finitely supported …
zero. We shall show that the bounded derived category D b (Mod b Λ) of finitely supported …
Auslander-Reiten triangles in derived categories of finite-dimensional algebras
D Happel - Proceedings of the American Mathematical Society, 1991 - ams.org
Let $ A $ be a finite-dimensional algebra. The category $ bmod A $ of finitely generated left
$ A $-modules canonically embeds into the derived category ${D^ b}\left (A\right) $ of …
$ A $-modules canonically embeds into the derived category ${D^ b}\left (A\right) $ of …
Algebras whose derived category is tame
JA De la Pe a - Contemporary Mathematics, 1998 - books.google.com
Let A be a finite dimensional algebra over an algebraically closed field k. In recent years the
consideration of the derived category D"(A) of the category mod A of (left-) modules over A …
consideration of the derived category D"(A) of the category mod A of (left-) modules over A …
-subcategories in
V Futorny, S König, V Mazorchuk - manuscripta mathematica, 2000 - Springer
We prove that certain subcategories of, consisting of complete modules having a quasi-
Verma flag with respect to a Levi subalgebra, admit a combinatorial description similar to …
Verma flag with respect to a Levi subalgebra, admit a combinatorial description similar to …
[引用][C] Many Algebras with the same Auslander‐Reiten Quiver
C Riedtmann - Bulletin of the London Mathematical Society, 1983 - Wiley Online Library
In most cases, a finite-dimensional representation-finite algebra over an algebraically closed
field k is uniquely determined by its Auslander-Reiten quiver, up to Morita-equivalence. In …
field k is uniquely determined by its Auslander-Reiten quiver, up to Morita-equivalence. In …
[引用][C] A functor between categories of regular modules for wild hereditary algebras
W Crawley-Boevey, O Kerner - Mathematische Annalen, 1994 - Springer
A theorem of Kerner E2] gives a quite unexpected bijection between the sets of regular
Auslander-Reiten components for any two connected wild hereditary algebras over an …
Auslander-Reiten components for any two connected wild hereditary algebras over an …
Comma categories in representation theory
N Marmaridis - Communications in Algebra, 1983 - Taylor & Francis
Introduction Throughout this paper B and r are basic finite dimensional algebras over an
algebraic closed field k, M is a rB-bimodule and R the triangular matrix algebra (L. Let modB …
algebraic closed field k, M is a rB-bimodule and R the triangular matrix algebra (L. Let modB …
[引用][C] Infinite radicals in standard Auslander-Reiten components
SP Liu - Journal of Algebra, 1994 - Elsevier
Let A be an artin algebra and mod A the category of finitely generated left A-modules.
Denote by rad (mod A) the Jacobson radical of mod A and by rad*(mod A) the infinite radical …
Denote by rad (mod A) the Jacobson radical of mod A and by rad*(mod A) the infinite radical …