left exactness
Смотреть что такое "left exactness" в других словарях:
Mitchell's embedding theorem — Mitchell s embedding theorem, also known as the Freyd–Mitchell theorem, is a result stating that every abelian category admits a full and exact embedding into the category of R modules. This allows one to use element wise diagram chasing proofs… … Wikipedia
Derived functor — In mathematics, certain functors may be derived to obtain other functors closely related to the original ones. This operation, while fairly abstract, unifies a number of constructions throughout mathematics. Contents 1 Motivation 2 Construction… … Wikipedia
Formal group — In mathematics, a formal group law is (roughly speaking) a formal power series behaving as if it were the product of a Lie group. They were first defined in 1946 by S. Bochner. The term formal group sometimes means the same as formal group law,… … Wikipedia
Spectral sequence — In the area of mathematics known as homological algebra, especially in algebraic topology and group cohomology, a spectral sequence is a means of computing homology groups by taking successive approximations. Spectral sequences are a… … Wikipedia
Mayer–Vietoris sequence — In mathematics, particularly algebraic topology and homology theory, the Mayer–Vietoris sequence is an algebraic tool to help compute algebraic invariants of topological spaces, known as their homology and cohomology groups. The result is due to… … Wikipedia
Splitting lemma — In mathematics, and more specifically in homological algebra, the splitting lemma states that in any abelian category, the following statements for short exact sequence are equivalent. Given a short exact sequence with maps q and r: :0 ightarrow… … Wikipedia
Exact functor — In homological algebra, an exact functor is a functor, from some category to another, which preserves exact sequences. Exact functors are very convenient in algebraic calculations, roughly speaking because they can be applied to presentations of… … Wikipedia
Comte and positivism — Robert Brown COMTE’S AIMS The chief aim of all of Auguste Comte’s publications, and the constant mission of his entire working life, was the improvement of human character through the perfecting of human society. He was convinced that the… … History of philosophy
pottery — /pot euh ree/, n., pl. potteries. 1. ceramic ware, esp. earthenware and stoneware. 2. the art or business of a potter; ceramics. 3. a place where earthen pots or vessels are made. [1475 85; POTTER1 + Y3] * * * I One of the oldest and most… … Universalium
Nicomachean Ethics — Part of a series on Aristotle … Wikipedia
Cotangent complex — In mathematics the cotangent complex is a roughly a universal linearization of a morphism of geometric or algebraic objects. Cotangent complexes were originally defined in special cases by a number of authors. Luc Illusie, Daniel Quillen, and M.… … Wikipedia
