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

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(A more advanced analogue of Wikipedia: Template:Algebraic structures. It uses some formatting code from English Wikipedia which, I hope, is ineligible for copyright)
 
(collapsible?)
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  ! colspan=3 bgcolor=#CCCCCC style="padding:3px" |[[Ring theory]] and [[group theory|groups]]
 
  ! colspan=3 bgcolor=#CCCCCC style="padding:3px" |[[Ring theory]] and [[group theory|groups]]
 
  |-
 
  |-
  | colspan=3 bgcolor=#99FFFF |<div class="NavFrame {{#ifeq:{{{show}}}|lower|collapsed}}" style="border: none; padding: 0; {{{framestyle|}}}">
+
  | colspan=3 |
    <div class="NavHead" style="font-size: 80%; background: transparent; text-align: left;">    overstructures</div>
+
  {| class="navbox collapsible {{#ifeq:{{{show}}}|lower|collapsed}}" style="border: none; padding: 0; background-color:#99FFFF">
    <div class="NavContent" style="padding: 0.2em 0 0.4em; text-align: center;">
+
  !<div class="NavHead" style="font-size: 80%; text-align: left;">    overstructures</div>
      <span style="background-color:#FFFF66; padding:3px">[[Division algebra]]</span> <span style="background-color:#FFFF66; padding:3px">[[Bialgebra]]</span><br/>
+
  |-
 <span style="display:inline-block; background-color:#FFBB66">[[Lie algebra|Lie a.]] || [[Associative algebra|Associative a.]]<br/>
+
  | style="padding: 0.2em 0 0.4em; text-align: center; background-color:#99FFFF" |<!--
    <span style="font-size:87%; background-color:#FFFFFF; padding:3px">[[Ring with operators]]</span><br/>
+
-->      <span style="background-color:#FFFF66; padding:3px;">[[Division algebra]]</span> <span style="background-color:#FFFF66; padding:3px;">[[Bialgebra]]</span><br/><!--
   <span style="background-color:#FF9999; padding:3px">[[Algebra over a ring|Algebra/ring]]</span>
+
--> <span style="display:inline-block; background-color:#FFBB66; text-align:center;">[[Lie algebra|Lie a.]] &#124; &#124; [[Associative algebra|Associative a.]]<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>
<span style="background-color:#FFFF66; vertical-align:0.5ex; padding:3px">[[Algebra over a field|Algebra/field]]</span></span>
+
<span style="background-color:#FFFF66; vertical-align:0.5ex; padding:3px;">[[Algebra over a field|Algebra/field]]</span> </span><!--
<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><br/>
+
--><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><br/><!--
    <span style="display:inline-block; background-color:#FF9999; padding:3px; text-align:right"> [[Module]] <br/>▼ </span>
+
-->    <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><br/>
+
<span style="display:inline-block; background-color:#FFFF66; vertical-align:0.5ex; padding:3px; text-align:left;">[[Vector space]]<br/>[[scalar multiplication|▼]]</span><br/><!--
<span style="font-size:87%; background-color:#FFFFFF; padding:3px"> [[Group with operators]] </span> </div>
+
--><span style="font-size:87%; background-color:#FFFFFF; padding:3px;"> [[Group with operators]] </span> <div style="font-size:50%; background-color:#333333; padding:1px;">.</div>
<div style="font-size:50%; background-color:#333333; padding:1px">.</div>
+
    |}
</div>
 
 
  |-
 
  |-
 
  |<span style="position:relative; top:0.5ex;">[[Semifield]]</span>
 
  |<span style="position:relative; top:0.5ex;">[[Semifield]]</span>
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  | colspan=2 |[[Abelian group]]
 
  | colspan=2 |[[Abelian group]]
 
  |-
 
  |-
  | colspan=3 bgcolor=#E080FF |<div class="NavFrame {{#ifeq:{{{show}}}|higher|collapsed}}" style="border: none; padding: 0; {{{framestyle|}}}">
+
  | colspan=3 align=center bgcolor=#E080FF |
    <div class="NavHead" style="font-size: 80%; background: transparent; text-align: left;">    group-like structures</div>
+
  {| class="navbox collapsible  {{#ifeq:{{{show}}}|higher|collapsed}}" style="border: none; padding: 0; background-color:#E080FF">
    <div class="NavContent" style="padding: 0.2em 0 0.4em; text-align: center;">
+
  !<div class="NavHead" style="font-size: 80%; text-align: left;">    group-like structures</div>
[[Semigroup]] [[identity element|◀]] [[Monoid]]<br/>
+
  |-
[[Quasigroup|Quasigroup ◀ Loop]]<br/>
+
  | style="padding: 0.2em 0 0.4em; text-align: center;  background-color:#E080FF;"> |<!--
  [[Magma]]
+
-->[[Semigroup]] [[identity element|◀]] [[Monoid]]<br/><!--
</div>
+
-->[[Quasigroup|Quasigroup ◀ Loop]]<br/>  [[Magma]]
 +
  |}
 
  |}<noinclude>
 
  |}<noinclude>
 
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>

Revision as of 15:14, 16 May 2013

Ring theory and groups
Semifield Division ring Field
Integral domain
Domain
Near-
ring

Ring
Commutative ring
Group Abelian group

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=29738