Fully bounded grothendieck categories part I: locally noetherian categories
نویسندگان
چکیده
منابع مشابه
Derived Categories Part I
3 Derived Categories 11 3.1 Extending Functors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 3.2 Truncations and Hearts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3.3 Bounded Derived Categories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3.4 Plump Subcategories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
متن کاملTriangulated Categories Part I
Triangulated categories are important structures lying at the confluence of several exciting areas of mathematics (and even physics). Our notes on the subject are divided into three parts which, if named by the major construction occurring within them, would be titled “Verdier quotients”, “Thomason localisaton” and “Brown representability”. There are many places to learn about triangulated cate...
متن کاملFully Bounded Noetherian Rings
Let i : A → R be a ring morphism, and χ : R → A a right R-linear map with χ(χ(r)s) = χ(rs) and χ(1 R) = 1 A. If R is a Frobenius A-ring, then we can define a trace map tr : A → A R. If there exists an element of trace 1 in A, then A is right FBN if and only if A R is right FBN and A is right noetherian. The result can be generalized to the case where R is an I-Frobenius A-ring. We recover resul...
متن کاملAtomical Grothendieck Categories
Motivated by the study of Gabriel dimension of a Grothendieck category, we introduce the concept of atomical Grothendieck category, which has only two localizing subcategories, and we give a classification of this type of Grothendieck categories. 1. Introduction. Given a Grothendieck category Ꮽ, we can associate with it the lattice of all localizing categories of Ꮽ and denote it by Tors(Ꮽ). We ...
متن کاملذخیره 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: Journal of Pure and Applied Algebra
سال: 1981
ISSN: 0022-4049
DOI: 10.1016/0022-4049(81)90077-3