Semigroups is an English word. Below you'll find 6 example sentences showing how it's used in practice.
Semigroups meaning
plural of semigroup
Using Semigroups
- The main meaning on this page is: plural of semigroup
Context around Semigroups
- Average sentence length in these examples: 20.5 words
- Position in the sentence: 1 start, 4 middle, 1 end
- Sentence types: 6 statements, 0 questions, 0 exclamations
Corpus analysis for Semigroups
- In this selection, "semigroups" usually appears in the middle of the sentence. The average example has 20.5 words, and this corpus slice is mostly made up of statements.
- Around the word, commutative, regular, inverse and generalize stand out and add context to how "semigroups" is used.
- Recognizable usage signals include characterize those semigroups for which and generalize inverse semigroups the unique. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "semigroups" sits close to words such as aaaaa, aage and aardvarks, which helps place it inside the broader word index.
Example types with semigroups
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Infinitary generalizations of commutative semigroups have sometimes been considered by various authors. (12 words)
Consequently, monoids are studied in the theory of semigroups rather than in group theory. (14 words)
The problem for non-commutative semigroups can be traced to the first substantial paper on semigroups. (16 words)
We may think of G as the "most general" group that contains a homomorphic image of S. An important question is to characterize those semigroups for which this map is an embedding. (32 words)
Since *-regular semigroups generalize inverse semigroups, the unique element defined this way in a *-regular semigroup is called the generalized inverse or Penrose–Moore inverse. (25 words)
Associative operations are abundant in mathematics; in fact, many algebraic structures (such as semigroups and categories ) explicitly require their binary operations to be associative. (24 words)
Example sentences (6)
Since *-regular semigroups generalize inverse semigroups, the unique element defined this way in a *-regular semigroup is called the generalized inverse or Penrose–Moore inverse.
The problem for non-commutative semigroups can be traced to the first substantial paper on semigroups.
Associative operations are abundant in mathematics; in fact, many algebraic structures (such as semigroups and categories ) explicitly require their binary operations to be associative.
Consequently, monoids are studied in the theory of semigroups rather than in group theory.
Infinitary generalizations of commutative semigroups have sometimes been considered by various authors.
We may think of G as the "most general" group that contains a homomorphic image of S. An important question is to characterize those semigroups for which this map is an embedding.