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Get to know Unital better with 10+ real example sentences, the meaning.

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Unital in a sentence

Unital meaning

(of an algebra) containing a multiplicative identity element (or unit), i.e. an element 1 with the property 1x=x1=x for all elements x of the algebra.

Using Unital

  • The main meaning on this page is: (of an algebra) containing a multiplicative identity element (or unit), i.e. an element 1 with the property 1x=x1=x for all elements x of the algebra.
  • In the example corpus, unital often appears in combinations such as: unital ring, be unital, unital associative.

Context around Unital

  • Average sentence length in these examples: 21.8 words
  • Position in the sentence: 4 start, 13 middle, 3 end
  • Sentence types: 20 statements, 0 questions, 0 exclamations

Often before:

non 2× online 2× necessarily 1× associative 1× complex 1×

Often after:

ring 8× magma 2× associative 2× subalgebra 1× algebras 1× algebra 1× alternative 1× modules 1× rings 1× banach 1×

Sentence patterns with Unital

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

a complex unital banach algebra 1× an associative unital magma every 1× art online unital ring 1× art online unital ring book 1× be right unital modules over 1× category a unital ring r 1× confirmed that unital ring s 1× consideration is unital for one 1×

Sentence openings and endings

Common sentence openings:

in this article 2× during the unital 1× example the 2 1× formal definitions in 1× if rings are 1× in a unital 1×

Common sentence endings:

17 years old 1× a division algebra 1× a new world 1× a ring homomorphism 1× a unital subalgebra 1× algebras for clarification 1×

Words around Unital

Just before it in the word index:

unitaid 4 unitaf 3 unita 35 unit 9.273 unisys 13 uniswap 9

Just after it in the word index:

unitard 5 unitards 2 unitarian 150 unitarianism 19 unitarians 27 unitarios 2

Similar in corpus frequency:

abhiyan 33 ajibola 33 ajinkya 33 alleyways 33 amalia 33 amat 33

Corpus analysis for Unital

  • In this selection, "unital" usually appears in the middle of the sentence. The average example has 21.8 words, and this corpus slice is mostly made up of statements.
  • Around the word, non, online, necessarily, ring, magma and associative stand out and add context to how "unital" is used.
  • Recognizable usage signals include a complex unital banach algebra and an associative unital magma every. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "unital" sits close to words such as abhiyan, ajibola and ajinkya, which helps place it inside the broader word index.

Example types with unital

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

During the Unital Ring Arc, she is 17 years old. (10 words)

The English cover art for Sword Art Online: Unital Ring. (10 words)

It is also unital, but it is not a unital subalgebra. (11 words)

Longer example sentences

In this article, all modules will be assumed to be right unital modules over a ring R. Examples -modules are the same as abelian groups, so a simple Z-module is an abelian group which has no non-zero proper subgroups. (41 words)

In fact the converse is also true and this gives a characterization of division rings via their module category: A unital ring R is a division ring if and only if every R- module is free Grillet, Pierre Antoine. (39 words)

The integers form a unital ring which is the most basic one, in the following sense: for any unital ring, there is a unique ring homomorphism from the integers into this ring. (32 words)

Example sentences (20)

It is also unital, but it is not a unital subalgebra.

Non-unital algebras Some authors use the term "associative algebra" to refer to structures with do not necessarily have a multiplicative identity, and hence consider homomorphisms which are not necessarily unital.

The integers form a unital ring which is the most basic one, in the following sense: for any unital ring, there is a unique ring homomorphism from the integers into this ring.

During the Unital Ring Arc, she is 17 years old.

It even was being Google searched more than Sword Art Online: Alicization (check out our article on how Unital Ring will become Sword Art Online Season 4).

The problem that Aniplex faces is that Sword Art Online: Unital Ring book series first began releasing in 2018.

In addition, book publisher Kadokawa has confirmed that Unital Ring’s story will involve a new mysterious survival game that’s set in a new world.

The English cover art for Sword Art Online: Unital Ring.

Advertentie

Example The 2 2-matrices over the reals form a unital algebra in the obvious way.

Formal definitions In a unital magma Let be a set closed under a binary operation (i.

If rings are not required to be unital, the last condition is omitted.

In a unital alternative algebra, multiplicative inverses are unique whenever they exist.

In fact the converse is also true and this gives a characterization of division rings via their module category: A unital ring R is a division ring if and only if every R- module is free Grillet, Pierre Antoine.

In other words, in a monoid (an associative unital magma) every element has at most one inverse (as defined in this section).

In some areas of mathematics this assumption is not made, and we will call such structures non-unital associative algebras.

In this article, all modules will be assumed to be right unital modules over a ring R. Examples -modules are the same as abelian groups, so a simple Z-module is an abelian group which has no non-zero proper subgroups.

In this article associative algebras are assumed to have a multiplicative unit, denoted 1; they are sometimes called unital associative algebras for clarification.

It is possible to have a rng homomorphism between (unital) rings that is not a ring homomorphism.

Let A be a complex unital Banach algebra in which every non-zero element x is invertible (a division algebra).

Often one assumes a priori that the algebra under consideration is unital: for one can develop much of the theory by considering and then applying the outcome in the original algebra.

Advertentie

Common combinations with unital

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "unital" in a sentence?
An example: "It is also unital, but it is not a unital subalgebra." This page contains 10+ example sentences with the word "unital" from authentic English texts.
What does "unital" mean?
Unital means: (of an algebra) containing a multiplicative identity element (or unit), i.e. an element 1 with the property 1x=x1=x for all elements x of the algebra.
How many example sentences with "unital" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "unital", drawn from a database of millions of English sentences.