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- Veblen–Young_theorem abstract "In mathematics, the Veblen–Young theorem, proved by Oswald Veblen and John Wesley Young (1908, 1910, 1917), states that a projective space of dimension at least 3 can be constructed as the projective space associated to a vector space over a division ring.Non-Desarguesian planes give examples of 2-dimensional projective spaces that do not arise from vector spaces over division rings, showing that the restriction to dimension at least 3 is necessary.Jacques Tits generalized the Veblen–Young theorem to Tits buildings, showing that those of rank at least 3 arise from algebraic groups.John von Neumann (1998) generalized the Veblen–Young theorem to continuous geometry, showing that a complemented modular lattice of order at least 4 is isomorphic to the principal right ideals of a von Neumann regular ring.".
- Veblen–Young_theorem wikiPageID "31979549".
- Veblen–Young_theorem wikiPageRevisionID "573388429".
- Veblen–Young_theorem author1Link "Oswald Veblen".
- Veblen–Young_theorem author2Link "John Wesley Young".
- Veblen–Young_theorem authorlink "John von Neumann".
- Veblen–Young_theorem first "John Wesley".
- Veblen–Young_theorem first "John".
- Veblen–Young_theorem first "Oswald".
- Veblen–Young_theorem last "Veblen".
- Veblen–Young_theorem last "Young".
- Veblen–Young_theorem last "von Neumann".
- Veblen–Young_theorem year "1908".
- Veblen–Young_theorem year "1910".
- Veblen–Young_theorem year "1917".
- Veblen–Young_theorem year "1998".
- Veblen–Young_theorem subject Category:Theorems_in_algebraic_geometry.
- Veblen–Young_theorem subject Category:Theorems_in_projective_geometry.
- Veblen–Young_theorem comment "In mathematics, the Veblen–Young theorem, proved by Oswald Veblen and John Wesley Young (1908, 1910, 1917), states that a projective space of dimension at least 3 can be constructed as the projective space associated to a vector space over a division ring.Non-Desarguesian planes give examples of 2-dimensional projective spaces that do not arise from vector spaces over division rings, showing that the restriction to dimension at least 3 is necessary.Jacques Tits generalized the Veblen–Young theorem to Tits buildings, showing that those of rank at least 3 arise from algebraic groups.John von Neumann (1998) generalized the Veblen–Young theorem to continuous geometry, showing that a complemented modular lattice of order at least 4 is isomorphic to the principal right ideals of a von Neumann regular ring.".
- Veblen–Young_theorem label "Veblen–Young theorem".
- Veblen–Young_theorem sameAs Veblen%E2%80%93Young_theorem.
- Veblen–Young_theorem sameAs Q7917715.
- Veblen–Young_theorem sameAs Q7917715.
- Veblen–Young_theorem wasDerivedFrom Veblen–Young_theorem?oldid=573388429.