noncommutative

Adjective

Meaning

noncommutative (not comparable)

(of an algebraic structure) Not having commutativity of all elements under its operation.

Source: en.wiktionary.org

Phrases with the word

noncommutative algebraic geometry

Examples

In noncommutative ring theory, a maximal right ideal is defined analogously as being a maximal element in the poset of proper right ideals, and similarly, a maximal left ideal is defined to be a maximal element of the poset of proper left ideals. Source: Internet

;Column order significance :The order of columns in an SQL table is defined and significant, one consequence being that SQL's implementations of Cartesian product and union are both noncommutative. Source: Internet

For example, most Banach algebras are noncommutative. Source: Internet

For n > 1 (and R not the zero ring), this matrix ring is noncommutative. Source: Internet

His mathematical specialties were noncommutative ring theory and computational algebra and its applications, including automated theorem proving in geometry. Source: Internet

Multiplication is defined by the rules that the elements of G commute with the elements of R and multiply together as they do in the group G. * Many rings that appear in analysis are noncommutative. Source: Internet

Close letter words and terms

noncommunity noncommutability noncommutable noncommutative algebraic geometry noncommutative geometry noncommutatively