Examples of 'semigroup' in a sentence
Meaning of "semigroup"
semigroup (noun): In mathematics, a semigroup is a set combined with an associative binary operation
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- Any set for which there is a binary operation that is closed and associative.
How to use "semigroup" in a sentence
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semigroup
A band is a semigroup the operation of which is idempotent.
The homomorphic image of a regular semigroup is regular.
This is the semigroup anologue of a permutation group.
The term is used differently in semigroup theory.
A monoid is a semigroup that has an identity element.
An aperiodic monoid is an aperiodic semigroup which is a monoid.
A semigroup that has a unit is called a monoid.
A magma with an associative operation is called a semigroup.
A commutative semigroup is a semigroup whose operation is commutative.
Any full transformation semigroup is regular.
A regular semigroup is a semigroup in which every element is regular.
A solution is then expressed as a semigroup acting on an initial condition.
A semigroup generated by a single element is said to be monogenic or cyclic.
This formulation makes use of the semigroup approach.
A semigroup homomorphism is a function that preserves semigroup structure.
See also
The generator of a uniformly continuous semigroup is a bounded operator.
A semilattice is a semigroup whose operation is idempotent and commutative.
Associative binary operation is called a semigroup.
It follows that every semigroup is embeddable in a catholic semigroup.
Many authors do not admit the existence of such a semigroup.
A semigroup with an identity is called a monoid.
The bicyclic semigroup is regular.
A semigroup is said to be periodic if all of its elements are of finite order.
Every group is a regular semigroup.
A semigroup homomorphism between monoids preserves identity if it is a monoid homomorphism.
A topological group is a topological semigroup.
Thus a semigroup homomorphism between groups is necessarily a group homomorphism.
All the results are presented in terms of the generator of semigroup.
We can see that a semigroup is a magma with an associative operation.
An associative groupoid is called a semigroup.
Not excluding the empty semigroup simplifies certain results on semigroups.
Every group is an inverse semigroup.
The others all have a semigroup with two elements as subsemigroups.
This remark holds more generally in any semigroup with zero.
A subsemigroup is a subset of a semigroup that is closed under the semigroup operation.
Techniques of semigroup theory.
An orthodox semigroup is a regular semigroup in which the idempotents form a subsemigroup.
The set of idempotents in an orthodox semigroup has several interesting properties.
A semigroup homomorphism is a map between semigroups that preserves the semigroup operation.
Another example would be the additive semigroup of positive natural numbers.
Semigroup of transformations.
The apery set is a special generating set of a semigroup with conductor.
There are some semigroup operators that admit slightly better solutions.
Strongly continuous semigroup.
Applications outside of the semigroup and monoid theories are now computationally feasible.
Full transformation semigroup.
An eventually regular semigroup is a semigroup in which some power of any element is regular.
Finding the semigroup.
We investigate the connections between properties of the graph and the semigroup.
A correspondence between transformation semigroups and semigroup actions is described below.
