Categories of motives for additive categories. II
نویسندگان
چکیده
منابع مشابه
Categories of Motives for Additive Categories. Ii
This is a continuation of the paper by the same author published in this journal, v. 19 (2007), no. 6. This paper is a continuation of the paper [4] and makes a whole with it. We retain the notation, the definitions, and the assumptions of [4], and we continue the numeration of sections, theorems and lemmas. The proofs of Theorems 2–4 in §6 of [4] were in fact missing; it was said only that one...
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In line with the development of a theme of a classical paper by D. K. Faddeev, motivic extensions of certain additive categories are studied.
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An additive category is definable if it is equivalent to a definable subcategory of a module category Mod-R, meaning a full subcategory which is closed under direct products, direct limits (= directed colimits) and pure subobjects. Such a category D has associated to it a canonical model theory for its objects in the sense that each object D ∈ D becomes a structure for the associated language; ...
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2 The category of small abelian categories and exact functors 4 2.1 Categorical properties of ABEX . . . . . . . . . . . . . . . . . . . 5 2.2 Pullbacks in ABEX . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.3 ABEX is finitely accessible . . . . . . . . . . . . . . . . . . . . . . 12 2.4 Abelian categories as schemes . . . . . . . . . . . . . . . . . . . . 16 2.4.1 The functor of point...
متن کاملDefinable Additive Categories
This is essentially the talk I gave on definable additive categories; I define these categories, say where they came from, describe some of what is around them and then point out the 2-category which
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ژورنال
عنوان ژورنال: St. Petersburg Mathematical Journal
سال: 2009
ISSN: 1061-0022
DOI: 10.1090/s1061-0022-09-01082-6