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- In mathematics, specifically in category theory, an exact category is a category equipped with short exact sequences. The concept is due to Daniel Quillen...8 KB (1,382 words) - 14:06, 2 December 2023
- exact sequence is a sequence of morphisms between objects (for example, groups, rings, modules, and, more generally, objects of an abelian category)...24 KB (3,455 words) - 11:42, 24 July 2024
- of exact categories, forming a very special case of regular categories. As mentioned above, the category of all abelian groups is an abelian category. The...19 KB (2,643 words) - 03:45, 26 March 2024
- cope with functors that fail to be exact, but in ways that can still be controlled. Let P and Q be abelian categories, and let F: P→Q be a covariant additive...13 KB (2,404 words) - 19:02, 4 March 2024
- Grothendieck group of an exact category A {\displaystyle {\mathcal {A}}} . Simply put, an exact category is an additive category together with a class of...24 KB (4,178 words) - 21:35, 19 July 2024
- are the derived category of an abelian category, as well as the stable homotopy category. The exact triangles generalize the short exact sequences in an...37 KB (5,798 words) - 23:12, 18 August 2024
- In category theory, a branch of mathematics, the exact completion constructs a Barr-exact category from any finitely complete category. It is used to...4 KB (419 words) - 07:58, 18 August 2023
- definitions, it is possible to define the derived category of an exact category (Keller 1996). The derived category is a natural framework to define and study...29 KB (4,503 words) - 21:16, 26 April 2024
- pairs, satisfying certain exactness conditions. In that way, regular categories recapture many properties of abelian categories, like the existence of images...9 KB (1,127 words) - 09:46, 29 October 2022
- Fisher's exact test is a statistical significance test used in the analysis of contingency tables. Although in practice it is employed when sample sizes...29 KB (3,949 words) - 00:23, 9 July 2024
- In mathematics, exactness may refer to: Exact category Exact functor Landweber exact functor theorem Exact sequence Exactness of measurements Accuracy...269 bytes (54 words) - 14:19, 13 February 2020
- finite colimits. (A functor is simply exact if it's both left exact and right exact.) In a pre-abelian category, exact functors can be described in particularly...10 KB (1,382 words) - 03:45, 26 March 2024
- In category theory, a branch of mathematics, a Frobenius category is an exact category with enough projectives and enough injectives, where the classes...1 KB (115 words) - 14:17, 15 March 2024
- Exact is a Dutch software company that offers accounting, ERP, and other software for small and medium enterprises. Exact develops cloud-based and on-premises...13 KB (1,237 words) - 19:12, 21 May 2024
- K-theory after specifying on C a structure of an exact category, or of a Waldhausen category, or of a dg-category, or possibly some other variants. Thus, there...12 KB (1,664 words) - 06:08, 21 August 2024
- cokernel. A quasi-abelian category is an exact category.[citation needed] Let A {\displaystyle {\mathcal {A}}} be a pre-abelian category. A morphism f {\displaystyle...5 KB (660 words) - 17:39, 1 July 2024
- Projective module (section Split-exact sequences)functor Hom(P, -): R-Mod → Ab is an exact functor, where R-Mod is the category of left R-modules and Ab is the category of abelian groups. When the ring...23 KB (3,076 words) - 07:13, 10 May 2024
- A Category 5 Atlantic hurricane is a tropical cyclone that reaches Category 5 intensity on the Saffir–Simpson hurricane wind scale, within the Atlantic...61 KB (3,643 words) - 14:47, 11 August 2024
- Homological algebra (redirect from Long exact sequence in homology)sense in any category with kernels and cokernels. The most common type of exact sequence is the short exact sequence. This is an exact sequence of the...27 KB (3,857 words) - 20:15, 11 February 2024
- Algebraic K-theory (section Long exact sequences)not yield any negative K-groups. All abelian categories are exact categories, but not all exact categories are abelian. Because Quillen was able to work...76 KB (10,382 words) - 14:54, 23 June 2024
- December 1899 (1899) Exact Methods in Sociology by Franklin Henry Giddings 1404057Popular Science Monthly Volume 56 December 1899 — Exact Methods in Sociology1899Franklin
- about. But now I come to a category which only a more refined form of common sense is prepared willingly to allow, the category which of the three is the
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