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On this page you'll find 10+ example sentences with Endomorphism. Discover the meaning, how to use the word correctly in a sentence.

Rare word

Endomorphism in a sentence

Endomorphism meaning

  1. The assimilation of surrounding rock by an intrusive igneous rock.
  2. A homomorphism that maps a system to itself.

Using Endomorphism

  • The main meaning on this page is: The assimilation of surrounding rock by an intrusive igneous rock. | A homomorphism that maps a system to itself.
  • In the example corpus, endomorphism often appears in combinations such as: endomorphism ring, the endomorphism, an endomorphism.

Context around Endomorphism

  • Average sentence length in these examples: 21.9 words
  • Position in the sentence: 4 start, 9 middle, 6 end
  • Sentence types: 19 statements, 0 questions, 0 exclamations

Often before:

ring 1× frobenius 1×

Often after:

ring 10× group 1×

Sentence patterns with Endomorphism

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

is the endomorphism ring of 2× as an endomorphism of any 1× as an endomorphism of the 1× as the endomorphism ring of 1× automorphism an endomorphism that is 1× be its endomorphism ring see 1× called an endomorphism and an 1× called an endomorphism of g 1×

Sentence openings and endings

Common sentence openings:

a ring homomorphism 1× an element in 1× if the module 1× in category theory 1× in essence the 1× in other words 1×

Common sentence endings:

a local ring 1× abelian x group 1× and ring automorphism 1× any r module 1× as its generator 1× complex numbers citation 1×

Words around Endomorphism

Just before it in the word index:

endomorphic 2 endomitosis 2 endometrium 21 endometritis 2 endometriotic 2 endometriosis 127

Just after it in the word index:

endon 3 endonuclease 7 endonucleases 3 endonym 7 endonyms 3 endoparasites 8

Similar in corpus frequency:

aaditya 23 aardman 23 abbo 23 aberg 23 aboitiz 23 abovementioned 23

Corpus analysis for Endomorphism

  • In this selection, "endomorphism" usually appears in the middle of the sentence. The average example has 21.9 words, and this corpus slice is mostly made up of statements.
  • Around the word, ring, frobenius, ring and group stand out and add context to how "endomorphism" is used.
  • Recognizable usage signals include is the endomorphism ring of and as an endomorphism of any. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "endomorphism" sits close to words such as aaditya, aardman and abbo, which helps place it inside the broader word index.

Example types with endomorphism

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

In particular, one obtains the notions of ring endomorphism, ring isomorphism, and ring automorphism. (14 words)

Matrix ring and endomorphism ring main Let R be a ring (not necessarily commutative). (14 words)

Under this addition, the endomorphisms of an abelian group form a ring (the endomorphism ring ). (15 words)

Longer example sentences

More generally, if V is a left module over a ring R, then the set of all R-linear maps forms a ring, also called the endomorphism ring and denoted by End R (V). (34 words)

In this sense, therefore, any ring can be viewed as the endomorphism ring of some abelian X-group (by X-group, it is meant a group with X being its set of operators ). (33 words)

Since the positive reals form a subgroup of the complex numbers under multiplication, we may think of absolute value as an endomorphism of the multiplicative group of the complex numbers. citation. (31 words)

Example sentences (19)

Also called an endomorphism of G. ; Automorphism : An endomorphism that is bijective, and hence an isomorphism.

This ring is the endomorphism ring of A. Conversely, every ring (with identity ) is the endomorphism ring of some object in some preadditive category.

An element in a commutative ring R may be thought of as an endomorphism of any R-module.

A ring homomorphism between the same ring is called an endomorphism and an isomorphism between the same ring an automorphism.

As a more illuminating example, the classification of groupoids with one endomorphism does not reduce to purely group theoretic considerations.

If the module is Artinian, Noetherian, projective or injective, then the endomorphism ring has a unique maximal ideal, so that it is a local ring.

In category theory, an automorphism is an endomorphism (i.e. a morphism from an object to itself) which is also an isomorphism (in the categorical sense of the word).

In essence, the most general form of a ring, is the endomorphism group of some abelian X-group.

Advertentie

In other words, there is a ring homomorphism f from the field F into the endomorphism ring of the group of vectors.

In particular, one obtains the notions of ring endomorphism, ring isomorphism, and ring automorphism.

In this sense, therefore, any ring can be viewed as the endomorphism ring of some abelian X-group (by X-group, it is meant a group with X being its set of operators ).

Let (A, +) be an abelian group and let End(A) be its endomorphism ring (see above).

Matrix ring and endomorphism ring main Let R be a ring (not necessarily commutative).

More generally, if V is a left module over a ring R, then the set of all R-linear maps forms a ring, also called the endomorphism ring and denoted by End R (V).

Since the positive reals form a subgroup of the complex numbers under multiplication, we may think of absolute value as an endomorphism of the multiplicative group of the complex numbers. citation.

The Galois group of every finite extension of a finite field is finite and cyclic, with an iterate of the Frobenius endomorphism as its generator.

This is analogous to the fact that the classification of vector spaces with one endomorphism is nontrivial.

Under this addition, the endomorphisms of an abelian group form a ring (the endomorphism ring ).

Under this isomorphism, the number r corresponds to the endomorphism of Z/nZ that maps each element to the sum of r copies of it.

Advertentie

Common combinations with endomorphism

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "endomorphism" in a sentence?
An example: "Also called an endomorphism of G. ; Automorphism : An endomorphism that is bijective, and hence an isomorphism." This page contains 10+ example sentences with the word "endomorphism" from authentic English texts.
What does "endomorphism" mean?
Endomorphism means: The assimilation of surrounding rock by an intrusive igneous rock.
How many example sentences with "endomorphism" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "endomorphism", drawn from a database of millions of English sentences.