- Zorn theorem
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Zorn theorem
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Artin-Zorn theorem — In mathematics, the Artin Zorn theorem states that any finite alternative division ring is necessarily a finite field. It generalizes the Wedderburn theorem for finite associative division rings … Wikipedia
Zorn's lemma — Zorn s lemma, also known as the Kuratowski Zorn lemma, is a proposition of set theory that states:Every partially ordered set in which every chain (i.e. totally ordered subset) has an upper bound contains at least one maximal element.It is named… … Wikipedia
Theorem — The Pythagorean theorem has at least 370 known proofs[1] In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements … Wikipedia
Zorn's lemma — /zawrnz/, Math. a theorem of set theory that if every totally ordered subset of a nonempty partially ordered set has an upper bound, then there is an element in the set such that the set contains no element greater than the specified given… … Universalium
zorn's lemma — ˈzȯ(ə)rnz , ˈtsȯ noun Usage: usually capitalized Z Etymology: after Max August Zorn died 1993 American (German born) mathematician : a lemma in set theory: if S is partially ordered and if each subset for which every pair of elements is related … Useful english dictionary
Max August Zorn — Max August Zorn, Jena, 1930 Max August Zorn (June 6, 1906 in Krefeld, Germany – March 9, 1993 in Bloomington, Indiana, United States) was a German born American mathematician. He was an algebraist, group theorist, and numerical analyst. He is… … Wikipedia
De Bruijn–Erdős theorem (graph theory) — This article is about coloring infinite graphs. For the number of lines determined by a finite set of points, see De Bruijn–Erdős theorem (incidence geometry). In graph theory, the De Bruijn–Erdős theorem, proved by Nicolaas Govert de Bruijn and… … Wikipedia
Tychonoff's theorem — For other theorems named after Tychonoff, see Tychonoff s theorem (disambiguation). In mathematics, Tychonoff s theorem states that the product of any collection of compact topological spaces is compact. The theorem is named after Andrey… … Wikipedia
Lemma von Zorn — Das Lemma von Zorn, auch bekannt als Lemma von Kuratowski Zorn, ist ein Theorem der Mengenlehre, genauer gesagt, der Zermelo Fraenkel Mengenlehre, die das Auswahlaxiom einbezieht. Es ist benannt nach dem deutsch amerikanischen Mathematiker Max… … Deutsch Wikipedia
Bourbaki–Witt theorem — In mathematics, the Bourbaki–Witt theorem in order theory, named after Nicolas Bourbaki and Ernst Witt, is a basic fixed point theorem for partially ordered sets. It states that if X is a chain complete poset, and : f : X o X such that : f (x)… … Wikipedia
Lemme de Zorn — En mathématiques, le lemme de Zorn (ou théorème de Zorn, ou parfois lemme de Kuratowski Zorn), est un théorème de la théorie des ensembles qui affirme que si un ensemble ordonné est tel que toute chaîne (sous ensemble totalement ordonné) possède… … Wikipédia en Français
