Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun mathematics A
subset of amonoid that is itself a monoid
Etymologies
from Wiktionary, Creative Commons Attribution/Share-Alike License
From sub- + monoid
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Examples
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The monoids of natural numbers and of even integers are both submonoids of the monoid of integers under addition, but only the latter submonoid is a subgroup, being closed under negation, unlike the natural numbers.
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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A submonoid of M is a subset S of M which contains the identity element addition form a commutative monoid, with zero as identity element.
Citizendium, the Citizens' Compendium - Recent changes [en] 2008
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