Some applications of module theory to functor categories
نویسندگان
چکیده
منابع مشابه
Some Applications of Module Theory to Functor Categories
Introduction. The notion of an additive category was abstracted from the example of all modules over a ring, a very large category. However with tongue firmly in cheek, one can define a ring with identity (all rings will have identity) as an additive category with just one object. Years ago, the notion of a Morita context was expounded with a certain amount of labour. A Morita context turned ou...
متن کاملSome Isomorphisms Between Functor Categories
The scheme ChoiceD concerns a non-empty set A, a non-empty set B, and a binary predicate P, and states that: there exists a function h from A into B such that for every element a of A holds P[a, h(a)] provided the parameters meet the following requirement: • for every element a of A there exists an element b of B such that P[a, b]. Let A, B, C be non-empty sets, and let f be a function from A i...
متن کاملRecollements of Derived Functor Categories ∗ †
We give an equivalence between the derived category of a locally finitely presented category and the derived category of contravariant functors from its finitely presented subcategory to the category of abelian groups, in the spirit of Krause’s work [H. Krause, Approximations and adjoints in homotopy categories, Math. Ann. 353 (2012), 765–781]. Then we provide a criterion for the existence of r...
متن کاملTTF Triples in Functor Categories
We characterize the hereditary torsion pairs of finite type in the functor category of a ring R associated to tilting torsion pairs in the category of R-modules. Moreover, we determine a conditions under which they give rise to TTF triples.
متن کاملextensions of some polynomial inequalities to the polar derivative
توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1978
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1978-14530-3