… module theory of certain types of finite-dimensional algebras has a strong similarity to abelian
group theory. (See [1] for the case of Kronecker modules, [… number of module categories. …

… For a finite-dimensional k-algebra A, we shall denote by modA the category of finite-dimensional
right A-modules, and by Db(A) the derived category of bounded complexes over modA (…

… category, then the most famous example of a triangulated category is the derived category
Db(… that A is the category mod A of finitely generated left modules over a finitedimensional k—…

… computable for each indecomposable module A and so there … the case of finite type or
subsume it under the term 'tame'. … the category of A{/]-modules to the category of modules over our …

… We see that if A is a regular k -algebra essentially of finite type, then there is a bijective
correspondence between (integrable) connections on M and (integrable) Ω -connections on M for …

… In this note we show that two finite dimensional algebras have the same representation …
obtains the usual stable module category ModΛ by taking X = Λ. Analogously, the categories Pinj …

… They reduce to the scalars in the case of a Hopf algebra and they are the carrying space
of the trivial representation in the monoidal category MA of A-modules. In the groupoid …

… Let A be a finite-dimensional algebra over an algebraically closed field k.We are interested
… category mod A of all finitedimensional left A-modules.Sometimes,we interprete A as a finite …

… -coherent OX -module M and aq¿1-linear map C on M a Cartier module. The prototypical
example of a Cartier module is the dualizing sheaf oX of a smooth and finite type k-scheme X (k …

… FI W -module. We prove that if an FI W -module V satisfies a simple finite generation condition
then … We analyze the algebraic structure of the category of FI W -modules, and introduce …