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Difference between revisions of "User:Incnis Mrsi/Ring theory and groups"

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  !<div class="NavHead" style="font-size: 80%; text-align: left;">    overstructures</div>
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--><span style="background-color:#FFFF66; padding:3px;">[[Division algebra]]</span>&#8239;&#124;&#8239;<span style="background-color:#FFFF66; padding:3px;">[[Bialgebra]]</span><br/><!--
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--><div> <span style="display:inline-block; background-color:#FFBB66; text-align:center;">&#8239;[[Lie algebra|Lie a.]]&nbsp;&nbsp;&#124;&#8239;&#124;&nbsp;&nbsp;&nbsp;[[Associative rings and algebras|Associative a.]]&nbsp;&nbsp;<br/>     <span style="font-size:87%; background-color:#FFFFFF; padding:3px;">[[Ring with operators]]</span><br/>   <span style="background-color:#FF9999; padding:3px;">[[Algebra over a ring|Algebra/ring]]</span>
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<span style="background-color:#FFFF66; vertical-align:0.5ex; padding:3px;">[[Algebra over a field|Algebra/field]]</span></span>&#8239;&#124;&#8239;<span style="display:inline-block; background-color:#FFFF66; font-size:75%; vertical-align:0; line-height:1.5ex; padding:3px;">[[coalgebra|coal-<br/>gebra]]</span></div>
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<span style="display:inline-block; background-color:#FF9999; padding:3px; text-align:right;"> [[Module]] <br/>▼ </span> <span style="display:inline-block; background-color:#FFFF66; vertical-align:0.5ex; padding:3px; text-align:left;"> [[Vector space]]<br/> [[scalar multiplication|▼]]</span>&nbsp;<br/>
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<span style="font-size:87%; background-color:#FFFFFF; padding:3px;">[[Group with operators]] </span>&nbsp;&nbsp;
 
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  |<span style="position:relative; top:0.5ex;">[[Semifield]]</span>
 
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  | colspan=2 |[[Abelian group]]
 
  | colspan=2 |[[Abelian group]]
 
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  !<div class="NavHead" style="font-size: 80%; text-align: left;">    group-like structures</div>
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        !<div class="NavHead" style="font-size: 80%; text-align: left; background-color:#E080FF">    group-like structures</div>
 
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style="background-color:#E080FF">[[Semigroup]] [[identity element|◀]] [[Monoid]]<br/>
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[[Quasigroup|Quasigroup ◀ Loop]]<br/>  [[Magma]]</div>
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A more advanced analogue of [[Wikipedia: Template:Algebraic structures]].
 
A more advanced analogue of [[Wikipedia: Template:Algebraic structures]].
 
It uses some formatting code from English Wikipedia which, I hope, is ineligible for copyright.
 
It uses some formatting code from English Wikipedia which, I hope, is ineligible for copyright.
 
</noinclude>
 
</noinclude>

Latest revision as of 16:53, 16 May 2013

Ring theory and groups
 overstructures
Division algebra | Bialgebra
  Lie a.  | |   Associative a.  
     Ring with operators
   Algebra/ring Algebra/field | coal-
gebra

 Module 
▼   Vector space
 ▼ 
Group with operators   

.
Semifield Division ring Field
Integral domain
Domain
Near-
ring
▼ 		Ring
▼ 		Commutative ring
Group Abelian group
    group-like structures

A more advanced analogue of Wikipedia: Template:Algebraic structures. It uses some formatting code from English Wikipedia which, I hope, is ineligible for copyright.

How to Cite This Entry:
Incnis Mrsi/Ring theory and groups. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Incnis_Mrsi/Ring_theory_and_groups&oldid=29741
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