Source: wikibot/noncommutative-geometry

= Noncommutative geometry
{wiki=Noncommutative_geometry}

Noncommutative geometry is a branch of mathematics that generalizes geometric concepts to settings where the usual notion of points, coordinates, and commutativity does not apply. In traditional geometry, the coordinates of spaces are commutative—meaning the order of multiplication does not affect the result. However, in noncommutative geometry, the coordinates do not necessarily commute, which leads to a richer and more complex structure.