- five lemma
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A particular lemma that claims the existence of a particular isomorphism in a commutative diagram given certain other homomorphisms in the diagram.
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five lemma
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Five lemma — In mathematics, especially homological algebra and other applications of Abelian category theory, the five lemma is an important and widely used lemma about commutative diagrams.The five lemma is valid not only for abelian categories but also… … Wikipedia
Short five lemma — In mathematics, especially homological algebra and other applications of Abelian category theory, the short five lemma is a special case of the five lemma.It states that for the following commutative diagram (in any Abelian category, or in the… … Wikipedia
Nine lemma — In mathematics, the nine lemma is a statement about commutative diagrams and exact sequences valid in any abelian category, as well as in the category of groups. It states: if is a commutative diagram and all columns as well as the two bottom… … Wikipedia
Pumping lemma for context-free languages — The pumping lemma for context free languages, also known as the Bar Hillel lemma, is a lemma that gives a property that all context free languages have. Its primary use is to prove a language is not context free.The pumping lemma for context free … Wikipedia
Schur's lemma — In mathematics, Schur s lemma is an elementary but extremely useful statement in representation theory of groups and algebras. In the group case it says that that if M and N are two finite dimensional irreducible representations of a group G and… … Wikipedia
Vitali covering lemma — In mathematics, the Vitali covering lemma is a combinatorial and geometric result commonly used in measure theory of Euclidean spaces. tatement of the lemma* Finite version: Let B {1},...,B {n} be any collection of d dimensional balls contained… … Wikipedia
List of mathematics articles (F) — NOTOC F F₄ F algebra F coalgebra F distribution F divergence Fσ set F space F test F theory F. and M. Riesz theorem F1 Score Faà di Bruno s formula Face (geometry) Face configuration Face diagonal Facet (mathematics) Facetting… … Wikipedia
List of lemmas — This following is a list of lemmas (or, lemmata , i.e. minor theorems, or sometimes intermediate technical results factored out of proofs). See also list of axioms, list of theorems and list of conjectures. 0 to 9 *0/1 Sorting Lemma ( comparison… … Wikipedia
List of mathematical proofs — A list of articles with mathematical proofs:Theorems of which articles are primarily devoted to proving them: See also: *Bertrand s postulate and a proof *Estimation of covariance matrices *Fermat s little theorem and some proofs *Gödel s… … Wikipedia
List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… … Wikipedia
