Random word

Noncommutative is an English word. Below you'll find 10+ example sentences showing how it's used in practice.

Rare word

Noncommutative in a sentence

Noncommutative meaning

Not having commutativity of all elements under its operation.

Using Noncommutative

  • The main meaning on this page is: Not having commutativity of all elements under its operation.
  • In the example corpus, noncommutative often appears in combinations such as: and noncommutative, noncommutative ring, noncommutative rings.

Context around Noncommutative

  • Average sentence length in these examples: 21.7 words
  • Position in the sentence: 4 start, 2 middle, 4 end
  • Sentence types: 10 statements, 0 questions, 0 exclamations

Often after:

ring 3× rings 2× geometry 2× topology 1× integral 1× case 1×

Sentence patterns with Noncommutative

These short patterns come directly from the example sentences and show how the word is often embedded:

algebras are noncommutative 1× analysis are noncommutative 1× commutative and noncommutative ring theory 1× for the noncommutative topology and 1× generalized to noncommutative rings by 1× hand and noncommutative geometry on 1× ideals for noncommutative rings the 1× in noncommutative ring theory 1×

Sentence openings and endings

Common sentence openings:

for example most 1× his mathematical specialties 1× in noncommutative ring 1× multiplication is defined 1× noncommutative integral domains 1× prime ideals for 1×

Common sentence endings:

algebras are noncommutative 1× analysis are noncommutative 1× are sometimes admitted 1× definition ideal wise 1× noncommutative geometry programs 1× of a ring 1×

Words around Noncommutative

Just before it in the word index:

noncommunist 3 noncommunicating 3 noncommunicable 4 noncommittally 2 noncommittal 30 noncommissioned 26

Just after it in the word index:

noncompact 2 noncompete 11 noncompetitive 12 noncompliance 43 noncompliant 13 noncompulsory 2

Similar in corpus frequency:

aadi 14 aayush 14 abbottabad 14 aberdonian 14 abhi 14 aborting 14

Corpus analysis for Noncommutative

  • In this selection, "noncommutative" usually appears near the start of the sentence. The average example has 21.7 words, and this corpus slice is mostly made up of statements.
  • Around the word, ring, rings and geometry stand out and add context to how "noncommutative" is used.
  • Recognizable usage signals include algebras are noncommutative and analysis are noncommutative. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "noncommutative" sits close to words such as aadi, aayush and abbottabad, which helps place it inside the broader word index.

Example types with noncommutative

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

Noncommutative integral domains are sometimes admitted. (6 words)

For example, most Banach algebras are noncommutative. (7 words)

This characterization is one of the motivations for the noncommutative topology and noncommutative geometry programs. (15 words)

Longer example sentences

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. (43 words)

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. (35 words)

The notion of a Noetherian ring is of fundamental importance in both commutative and noncommutative ring theory, due to the role it plays in simplifying the ideal structure of a ring. (31 words)

Example sentences (10)

Prime ideals for noncommutative rings The notion of a prime ideal can be generalized to noncommutative rings by using the commutative definition "ideal-wise".

This characterization is one of the motivations for the noncommutative topology and noncommutative geometry programs.

For example, most Banach algebras are noncommutative.

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

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.

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.

Noncommutative integral domains are sometimes admitted.

See also * Ore condition ; this is the condition one needs to consider in the noncommutative case.

The notion of a Noetherian ring is of fundamental importance in both commutative and noncommutative ring theory, due to the role it plays in simplifying the ideal structure of a ring.

This established a link between matrix models and M-theory on the one hand, and noncommutative geometry on the other hand.

Common combinations with noncommutative

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "noncommutative" in a sentence?
An example: "Prime ideals for noncommutative rings The notion of a prime ideal can be generalized to noncommutative rings by using the commutative definition "ideal-wise"." This page contains 10+ example sentences with the word "noncommutative" from authentic English texts.
What does "noncommutative" mean?
Noncommutative means: Not having commutativity of all elements under its operation.
How many example sentences with "noncommutative" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "noncommutative", drawn from a database of millions of English sentences.