Concept information
Preferred term
noncommutative geometry
Definition(s)
- Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of spaces that are locally presented by noncommutative algebras of functions (possibly in some generalized sense). A noncommutative algebra is an associative algebra in which the multiplication is not commutative, that is, for which xy does not always equal yx; or more generally an algebraic structure in which one of the principal binary operations is not commutative; one also allows additional structures, e.g. topology or norm, to be possibly carried by the noncommutative algebra of functions. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Noncommutative_geometry)
Broader concept(s)
Synonym(s)
- noncommutative space
In other languages
-
French
-
espace non commutatif
URI
http://data.loterre.fr/ark:/67375/MDL-LGLKCR4C-W
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