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• Free monoid generated by
  : Be sure to check [[Discussion of the free monoid and free semigroup generated by a set]], as there are some things to note ...e semigroup generated by]] {{M|X}}<ref group="Note">We do this because the semigroup has no identity (in fact, is considered as the set of all tuples of length
  2 KB (419 words) - 16:20, 20 July 2016
• Free semigroup generated by
  ...owever there is a difference, see [[Discussion of the free monoid and free semigroup generated by a set]] ...course is also a semigroup) - see [[discussion of the free monoid and free semigroup generated by a set]]){{rAAPAG}}, defined as follows:
  1 KB (200 words) - 07:07, 21 July 2016
• Semigroup
  A semigroup{{rAAPAG}} is a [[tuple]], {{M|(S,*)}}, consisting of a [[set]], {{M|S}} and {{Semigroup theory navbox|plain}}
  631 B (99 words) - 07:27, 21 July 2016
• Ring/New page
  * {{M|(R,\odot)}} is a [[semigroup]] ** Semigroup definition:<!--
  4 KB (728 words) - 16:29, 19 October 2016
• Omega(X,b)
  {{Caution|This is not a [[monoid]] or even a [[semigroup]] as {{M|*}} is not [[associative]]. See [[#Caveats|"''Caveats''"]] below}} {{Definition|Algebraic Topology|Homotopy Theory|Topology|Functional Analysis}}
  2 KB (364 words) - 04:47, 3 November 2016
• A continuous map induces a homomorphism on fundamental groups
  ...n operation, [[loop concatenation]], but it isn't a [[monoid]] or even a [[semigroup]] yet! As concatenation is not associative</ref> is the [[canonical project {{Theorem Of|Topology|Algebraic Topology|Homotopy Theory}}
  8 KB (1,475 words) - 07:35, 14 December 2016