Module categories with infinite radical square zero are of finite type
FU Coelho, EN Marcos, HA Merklen… - Communications in …, 1994 - Taylor & Francis
Module categories with infinite radical square zero are of finite type Page 1
COMMUNICATIONS IN ALGEBRA, 22(1 I), 451 1-4517 (1994) MODULE CATEGORIES …
COMMUNICATIONS IN ALGEBRA, 22(1 I), 451 1-4517 (1994) MODULE CATEGORIES …
Module categories with infinite radical cube zero
FU Coelho, EN Marcos, HA Merklen, A Skowroński - Journal of Algebra, 1996 - Elsevier
LetAbe an artin algebra and let modAdenote the category of finitely generated rightA-
modules. We denote by rad (modA) the ideal in modAgenerated by all non-invertible …
modules. We denote by rad (modA) the ideal in modAgenerated by all non-invertible …
The left and the right parts of a module category
In this paper, we study, for an artin algebra, the class LA (and RA) which is a full subcategory
of the category modA of finitely generated A-modules, and which consists of all …
of the category modA of finitely generated A-modules, and which consists of all …
A note on the radical of a module category
C Chaio, S Liu - Communications in Algebra, 2013 - Taylor & Francis
We characterize the finiteness of the representation type of an artin algebra in terms of the
behavior of the projective covers and the injective envelopes of the simple modules with …
behavior of the projective covers and the injective envelopes of the simple modules with …
Minimal infinite submodule-closed subcategories
CM Ringel - Bulletin des Sciences Mathématiques, 2012 - Elsevier
Let Λ be an artin algebra. We are going to consider full subcategories of modΛ closed under
finite direct sums and under submodules with infinitely many isomorphism classes of …
finite direct sums and under submodules with infinitely many isomorphism classes of …
Module categories without short cycles are of finite type
D Happel, SP Liu - Proceedings of the American Mathematical Society, 1994 - ams.org
Let $ A $ be an artin algebra. An indecomposable finitely generated $ A $-module $ X $ is
said to be on a short cycle if there exists an indecomposable finitely generated $ A $-module …
said to be on a short cycle if there exists an indecomposable finitely generated $ A $-module …
Duality and contravariant functors in the representation theory of artin algebras
S Dean - Journal of Algebra and Its Applications, 2019 - World Scientific
We know that the model theory of modules leads to a way of obtaining definable categories
of modules over a ring R as the kernels of certain functors (RM od) op→ A b rather than of …
of modules over a ring R as the kernels of certain functors (RM od) op→ A b rather than of …
Minimal representation-infinite artin algebras
A Skowroński - … Proceedings of the Cambridge Philosophical Society, 1994 - cambridge.org
Let A be an artin algebra over a commutative artin ring R, mod A be the category of finitely
generated right A-modules, and rad∞(modA) be the infinite power of the Jacobson radical …
generated right A-modules, and rad∞(modA) be the infinite power of the Jacobson radical …
Cycles in module categories
A Skowroński - Finite dimensional algebras and related topics, 1994 - Springer
Let A be an artin algebra over a commutative artin ring R and mod A be the category of
finitely generated right A-modules. A cycle in mod A is a sequence of non-zero non …
finitely generated right A-modules. A cycle in mod A is a sequence of non-zero non …
Categorical resolutions of a class of derived categories
P Zhang - Science China Mathematics, 2018 - Springer
We clarify the relation between the subcategory D hf b (A) of homological finite objects in D b
(A) and the subcategory K b (P) of perfect complexes in D b (A), by giving two classes of …
(A) and the subcategory K b (P) of perfect complexes in D b (A), by giving two classes of …