منابع مشابه
Three results on Frobenius categories
This paper consists of three results on Frobenius categories: (1)we give sufficient conditions on when a factor category of a Frobenius category is still a Frobenius category; (2) we show that any Frobenius category is equivalent to an extension-closed exact subcategory of the Frobenius category formed by Cohen–Macaulaymodules over some additive category; this is an analogue of Gabriel–Quillen’...
متن کاملOn lifting stable diagrams in Frobenius categories
Suppose given a Frobenius category E , i.e. an exact category with a big enough subcategory B of bijectives. Let E := E/B denote its classical stable category. For example, we may take E to be the category of complexes C(A) with entries in an additive category A, in which case E is the homotopy category of complexes K(A). Suppose given a finite poset D that satisfies the combinatorial condition...
متن کاملContinuous Frobenius Categories
We introduce continuous Frobenius categories. These are topological categories which are constructed using representations of the circle over a discrete valuation ring. We show that they are Krull-Schmidt with one indecomposable object for each pair of (not necessarily distinct) points on the circle. By putting restrictions on these points we obtain various Frobenius subcategories. The main pur...
متن کاملDialogue Categories and Frobenius Monoids
Higher topological quantum field theory and categorical quantum mechanics
متن کاملFrobenius Categories of Chevalley Groups
Notes for a course, held in the Biebrza Marshes, Poland, May 6–10, 2010, on Frobenius categories of finite groups of Lie type.
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2010
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-010-0785-3