Module categories with infinite radical square zero are of finite type
FU Coelho, EN Marcos, HA Merklen… - Communications in …, 1994 - Taylor & Francis
… By an A-module we mean a finitely generated, right A-module. We denote by modA the
category of all A-modules, by indA the full subcategory of modA … In a forthcoming paper [CMMS] …
category of all A-modules, by indA the full subcategory of modA … In a forthcoming paper [CMMS] …
Module categories with infinite radical cube zero
FU Coelho, EN Marcos, HA Merklen, A Skowroński - Journal of Algebra, 1996 - Elsevier
… a domestic algebra whose module category does not have its … that the indecomposable
A-modules occur, in each dimension … the infinite radical of its module category are equivalent. It Ž …
A-modules occur, in each dimension … the infinite radical of its module category are equivalent. It Ž …
On semisimplicity of module categories for finite non-zero index vertex operator subalgebras
R McRae - Letters in Mathematical Physics, 2022 - Springer
… category of grading-restricted generalized A-modules in \(\mathcal {C}\), and vice versa. The
most important condition is that A be a rigid V-module in \(\mathcal {C}\) with non-zero … -zero. …
most important condition is that A be a rigid V-module in \(\mathcal {C}\) with non-zero … -zero. …
On the structure of modular categories
M Müger - Proceedings of the London Mathematical Society, 2003 - cambridge.org
… Our point of view is that modular categories merit being … , according to which every modular
category is (equivalent to) … the squared dimensions appeared in [38], where its square …
category is (equivalent to) … the squared dimensions appeared in [38], where its square …
Integral almost square-free modular categories
J Dong, L Li, L Dai - Journal of Algebra and Its Applications, 2017 - World Scientific
… modular category is a pointed modular category. As a consequence, we get the structure of
an integral ASF modular category: … algebraically closed field k of characteristic zero. A fusion …
an integral ASF modular category: … algebraically closed field k of characteristic zero. A fusion …
The singularity category of an algebra with radical square zero
XW Chen - Documenta Mathematica, 2011 - ems.press
… module category A-mod is viewed as a full subcategory of Db(A-mod) by identifying an A-module …
of the singularity category of an artin algebra with radical square zero, and prove …
of the singularity category of an artin algebra with radical square zero, and prove …
[HTML][HTML] The bounded derived categories of an algebra with radical squared zero
R Bautista, S Liu - Journal of Algebra, 2017 - Elsevier
… 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 left Λ-modules admits a …
the bounded derived category D b ( Mod b Λ ) of finitely supported left Λ-modules admits a …
[图书][B] Rings and categories of modules
FW Anderson, KR Fuller - 1992 - books.google.com
… we call the entries T-square or г x F-square matrices. The diagonal of a I г-square matrix A [a]
… We call it the zero submodule and usually denote it by 0 alone. To avoid a special case later…
… We call it the zero submodule and usually denote it by 0 alone. To avoid a special case later…
On generalized symmetries and structure of modular categories
… symmetries of modular categories to category symmetries in … symmetries to category
symmetries of modular categories, which … to modular categories, where we define simple modular …
symmetries of modular categories, which … to modular categories, where we define simple modular …
On the infinite radical of a module category
J Schröer - Proceedings of the London Mathematical Society, 2000 - cambridge.org
… mod-A the category of finite-dimensional right modules over A. Let … indecomposable modules.
Following [20] we define rada … , `Module categories with infinite radical square zero are of …
Following [20] we define rada … , `Module categories with infinite radical square zero are of …
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