Definitions
from The American Heritage® Dictionary of the English Language, 5th Edition.
- noun A set for which there is a binary operation that is closed and associative.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun mathematics Any
set for which there is abinary operation that is bothclosed andassociative .
Etymologies
from Wiktionary, Creative Commons Attribution/Share-Alike License
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Examples
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A semigroup is a set together with an associative operation, called the multiplication of the semigroup and notated xy rather than f (x, y).
Algebra Pratt, Vaughan 2007
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The final equation for the evolution at the ensemble level is of the quantum dynamical semigroup type and has a structure extremely similar to the final one of the GRW theory.
Collapse Theories Ghirardi, Giancarlo 2007
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X, whence the semigroup of all functions on a set X forms a monoid.
Algebra Pratt, Vaughan 2007
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The semigroup of all nonempty words over a given alphabet has as a subsemigroup the words of even length; however the words of odd length do not form a subsemigroup because the concatenation of two odd-length words is not of odd length.
Algebra Pratt, Vaughan 2007
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A commutative semigroup is a semigroup whose operation is commutative.
Algebra Pratt, Vaughan 2007
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"Non-breaking error handling is just an applicative functor on a partially applied disjoint union type constructor with semigroup error elements so what's the big deal?"
developerFusion - content James Crowley 2010
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"Non-breaking error handling is just an applicative functor on a partially applied disjoint union type constructor with semigroup error elements so what's the big deal?"
developerFusion - content James Crowley 2010
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These considerations illustrate how the commonly used semigroup ansatz for time evolution of the unstable systems arises.
AvaxHome RSS: 2009
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Th ... abc on adelic Bost-Connes unknown: But then, we can form the crystalline semigroup graded skew-group algebra.
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