Inglés americano
The noncommutative geometry , developed by Alain Connes, is a type of Géométrie algebraic distinct from the algebraic Géométrie such as one usually hears it (that developed by Alexandre Grothendieck), because being interested, as its name indicates it, with noncommutative objects.
The principal idea is that a space within the meaning of the usual geometry can be described by the whole of the functions with actual values definite on this space. This whole of functions forms a associative Algèbre, which is also commutative: the product of two functions does not depend on the choice of an order. One can then think of seeing the noncommutative associative algebras like “algebras of functions” on “spaces”.
See too
- Algebra of stellar Banach
- Algebra
- functional Calculation
- Space of Hilbert
- Theory of the supercordes
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