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• Triangle inequality
  ...]] (an instance of a [[ring]]) we know that {{M|1=a+b=b+a}} (addition is [[commutative]]) #* As, again, {{M|\mathbb{R} }} is a ring, we know that {{M|1=\vert a\vert+\vert b\vert=\vert b\vert+\vert a\vert}}
  3 KB (546 words) - 13:05, 19 February 2016
• Ring
  ...gebras of sets]] and thus [[Sigma-algebra|{{Sigma|Algebras}}]] and [[Sigma-ring|{{Sigma|rings}}]] | Addition is commutative
  7 KB (1,248 words) - 05:02, 16 October 2016
• Examples of rings
  ...here refers to [[Ring|rings]] from abstract algebra, not a [[Ring of sets|ring of sets]] * Commutative ring with unity
  2 KB (269 words) - 17:11, 19 May 2015
• Direct sum (ring)
  Given two [[Ring|rings]] {{M|(R,+_R,\times_R)}} and {{M|(S,+_S,\times_S)}} their ''direct su Theorem: The ring {{M|R\oplus S}} has unity ''if and only if'' both {{M|R}} and {{M|S}} have
  3 KB (549 words) - 14:32, 8 June 2015
• Integral domain
  Given a [[Ring|ring]] {{M|(D,+,\times)}}, it is called an ''integral domain''<ref name="FOAA">F * A commutative ring, that is: <math>\forall x,y\in D[xy=yx]</math>
  2 KB (327 words) - 11:09, 20 February 2016
• Field
  ...[[ring]], {{M|F}}, that is both [[Commutative ring|commutative]] and has [[Ring with unity|unity]] with more than one element is a field if: * [[Ring]]
  951 B (151 words) - 21:29, 19 April 2016
• Notes:Modules
  Let {{M|R}} be a [[cu-ring]]<ref group="Note">Recall this means: * {{M|R}} is a [[commutative ring]] with [[unity (ring)|unity]]</ref>, then{{rALASR}}:
  4 KB (808 words) - 17:18, 11 October 2016
• U-ring
  {{DISPLAYTITLE:u-ring}}<!-- A ''u-ring'' (say: "''you-ring''") is a term for a [[ring with unity]]^[[ASN]]:<ref>[[ASN]]: Alec's Standard Notation</ref>
  455 B (57 words) - 16:32, 19 October 2016
• Q-ring
  __TOC__{{DISPLAYTITLE:q-ring}} ...-ring'' (also called a ''[[cu-ring]]'') is a [[ring#Properties|commutative ring with unity]]^[[ASN]]:<ref>[[ASN]]: Alec's Standard Notation</ref>
  435 B (56 words) - 04:28, 16 October 2016
• U-ring/Motivation
  ...it makes sense, "Let {{M|R}} be a ring" is shorter than "Let {{M|R}} be a ring with unity" over and over again. ..."commutative ring with unity", which only adds 2 or 3 more characters to "ring".
  647 B (110 words) - 04:11, 16 October 2016
• C-ring
  __TOC__{{DISPLAYTITLE:c-ring}} A ''c-ring'' is a [[ring#Properties|commutative ring]]^[[ASN]]:<ref>[[ASN]]: Alec's Standard Notation</ref>
  426 B (52 words) - 04:30, 16 October 2016
• Ring/New page
  Not to be confused with a [[ring of sets]] ...\oplus,\odot,0_R)}}, {{M|(R,\oplus,\odot)}} or even just "Let {{M|R}} be a ring".
  4 KB (728 words) - 16:29, 19 October 2016
• Characteristic property of the direct sum module/Statement
  -->Let {{M|(R,+,*,0)}} be a [[ring]] (with or without [[ring with unity|unity]]) and let {{M|(M_\alpha)_{\alpha\in I} }} be an arbitrary {{Todo|Mention [[commutative diagram]] and such}}
  1 KB (152 words) - 14:02, 20 October 2016