Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun mathematics Any
subset of asemigroup that isclosed under the semigroupoperation .
Etymologies
from Wiktionary, Creative Commons Attribution/Share-Alike License
sub- + semigroup
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Examples
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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 monoid H is a submonoid of a monoid G when it is a subsemigroup of G that includes the identity of G. 2.2 Groups
Algebra Pratt, Vaughan 2007
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