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Explore Monomorphisms through 6 example sentences from English, with an explanation of the meaning. Ideal for language learners, writers and word enthusiasts.

Rare word

Monomorphisms in a sentence

Related words

Monomorphisms | Monomorphism

Monomorphisms meaning

plural of monomorphism

Using Monomorphisms

  • The main meaning on this page is: plural of monomorphism
  • In the example corpus, monomorphisms often appears in combinations such as: monomorphisms which, are monomorphisms, the monomorphisms.

Context around Monomorphisms

  • Average sentence length in these examples: 26 words
  • Position in the sentence: 0 start, 4 middle, 2 end
  • Sentence types: 6 statements, 0 questions, 0 exclamations

Sentence patterns with Monomorphisms

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

are always monomorphisms which complete 1× embeddings are monomorphisms 1× he called monomorphisms which were 1× maps the monomorphisms are the 1× outs of monomorphisms 1× so the monomorphisms are exactly 1× which are monomorphisms in the 1×

Sentence openings and endings

Common sentence openings:

in the category 1× one would expect 1× properties of the 1× saunders mac lane 1× this is represented 1× this occurs if 1×

Common sentence endings:

embeddings are monomorphisms 1× of the diagram 1× of the word 1× outs of monomorphisms 1× the bijective maps 1× the injective morphisms 1×

Words around Monomorphisms

Just before it in the word index:

monomorphism 12 monomorphic 2 monomino 3 monomial 2 monomers 32 monomeric 13

Just after it in the word index:

monomotapa 3 monomoy 12 monomyth 6 monon 5 monona 12 monongahela 18

Similar in corpus frequency:

aaaaa 8 aage 8 aardvarks 8 abaca 8 abaji 8 abascal 8

Corpus analysis for Monomorphisms

  • In this selection, "monomorphisms" usually appears in the middle of the sentence. The average example has 26 words, and this corpus slice is mostly made up of statements.
  • Recognizable usage signals include are always monomorphisms which complete and embeddings are monomorphisms. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "monomorphisms" sits close to words such as aaaaa, aage and aardvarks, which helps place it inside the broader word index.

Example types with monomorphisms

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 the category of sets the converse also holds, so the monomorphisms are exactly the injective morphisms. (17 words)

One would expect that all isomorphisms and all compositions of embeddings are embeddings, and that all embeddings are monomorphisms. (19 words)

This occurs if and only if C is closed under pull-backs of epimorphisms and push-outs of monomorphisms. (19 words)

Longer example sentences

Saunders Mac Lane attempted to make a distinction between what he called monomorphisms, which were maps in a concrete category whose underlying maps of sets were injective, and monic maps, which are monomorphisms in the categorical sense of the word. (40 words)

This is represented in the diagram by an object and a monomorphism (kernels are always monomorphisms), which complete the short exact sequence running from the lower left to the upper right of the diagram. (34 words)

Properties of the category of sets The epimorphisms in Set are the surjective maps, the monomorphisms are the injective maps, and the isomorphisms are the bijective maps. (27 words)

Example sentences (6)

Saunders Mac Lane attempted to make a distinction between what he called monomorphisms, which were maps in a concrete category whose underlying maps of sets were injective, and monic maps, which are monomorphisms in the categorical sense of the word.

In the category of sets the converse also holds, so the monomorphisms are exactly the injective morphisms.

One would expect that all isomorphisms and all compositions of embeddings are embeddings, and that all embeddings are monomorphisms.

Properties of the category of sets The epimorphisms in Set are the surjective maps, the monomorphisms are the injective maps, and the isomorphisms are the bijective maps.

This is represented in the diagram by an object and a monomorphism (kernels are always monomorphisms), which complete the short exact sequence running from the lower left to the upper right of the diagram.

This occurs if and only if C is closed under pull-backs of epimorphisms and push-outs of monomorphisms.

Common combinations with monomorphisms

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "monomorphisms" in a sentence?
An example: "Saunders Mac Lane attempted to make a distinction between what he called monomorphisms, which were maps in a concrete category whose underlying maps of sets were injective, and monic maps, which are monomorphisms in the categorical sense of the word." This page contains 6 example sentences with the word "monomorphisms" from authentic English texts.
What does "monomorphisms" mean?
Monomorphisms means: plural of monomorphism
How many example sentences with "monomorphisms" are there?
Voorbeeldzinnen.info contains 6 example sentences with "monomorphisms", drawn from a database of millions of English sentences.