Gradual and Fuzzy Modules: Functor Categories
JM García, P Jara - Mathematics, 2022 - mdpi.com
… Our objective is to find a model of the fuzzy theory using a functor category, or equivalently
gradual modules, and we can do that first considering algebraic operations on fuzzy …
gradual modules, and we can do that first considering algebraic operations on fuzzy …
From subcategories to the entire module categories
R Hafezi - Forum Mathematicum, 2021 - degruyter.com
… define a functor from each type of the subcategories to the category of modules over some
… with help of the corresponding functors in the category of modules over some Artin algebra …
… with help of the corresponding functors in the category of modules over some Artin algebra …
[PDF][PDF] Categories and Modules
PDDJ Zintl - ps.informatik.uni-tuebingen.de
… transformations between functors. The resulting category is called the functor category of B
and C… We define a functor on the category of finite dimensional K-vector spaces with bases by …
and C… We define a functor on the category of finite dimensional K-vector spaces with bases by …
On unimodular module categories
H Yadav - Advances in Mathematics, 2023 - Elsevier
… such functors, we employ unimodular module categories, … In this case, by definition of adjoint
functors, we get the … multitensor category and M a finite left C -module category, the functor …
functors, we get the … multitensor category and M a finite left C -module category, the functor …
Module categories, internal bimodules, and Tambara modules
M Stroiński - Proceedings of the London Mathematical Society, 2024 - Wiley Online Library
… module category can be reconstructed as the category of certain free module objects in the
category of Tambara modules … To that end, we extend the definition of the Cayley functor to …
category of Tambara modules … To that end, we extend the definition of the Cayley functor to …
Functors between representation categories. Universal modules
AL Agore - Linear Algebra and its Applications, 2024 - Elsevier
… between the category of A -modules and the category of Lie g -modules. … functors admit left
adjoints which leads to the construction of universal A -modules and universal Lie h -modules …
adjoints which leads to the construction of universal A -modules and universal Lie h -modules …
Functor Categories and Cohomology
AM Cegarra, J Leech - The Cohomology of Monoids, 2024 - Springer
… category of \(\mathsf {C}\)-modules where \(\mathsf {C}\) is any given small category, whose
modules are abelian group valued functors … We look at its objects (functors) and morphisms (…
modules are abelian group valued functors … We look at its objects (functors) and morphisms (…
Grothendieck-Verdier module categories, Frobenius algebras and relative Serre functors
J Fuchs, G Schaumann, C Schweigert… - arXiv preprint arXiv …, 2024 - arxiv.org
… theory of module categories over GV-categories. According to our guiding principle,
module categories and module functors … with respect to both monoidal structures of a GV-category. …
module categories and module functors … with respect to both monoidal structures of a GV-category. …
-enriched categories are left -module objects of and -enriched functors
M Doni - arXiv preprint arXiv:2406.15887, 2024 - arxiv.org
… Now we describe the functor when we consider the category of R-modules as a category
of left R-module objects. Let (A,mA) and (B,mB) be two objects of ModR(Ab), the module …
of left R-module objects. Let (A,mA) and (B,mB) be two objects of ModR(Ab), the module …
Gradual and Fuzzy Modules: Functor Categories
JM García Hernández, P Jara Martínez - 2022 - digibug.ugr.es
… Our objective is to find a model of the fuzzy theory using a functor category, or equivalently
gradual modules, and we can do that first considering algebraic operations on fuzzy …
gradual modules, and we can do that first considering algebraic operations on fuzzy …