Namespaces
Variants
Actions

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

From Encyclopedia of Mathematics
Jump to: navigation, search
(A more advanced analogue of Wikipedia: Template:Algebraic structures. It uses some formatting code from English Wikipedia which, I hope, is ineligible for copyright)
 
(this buggy wiki corrupts my HTML for some unclear reason)
 
(One intermediate revision by the same user not shown)
Line 2: Line 2:
 
  ! 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/>
+
    | align=right style="padding: 0.2em 0 0; line-height:2.5ex; 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>&#8239;&#124;&#8239;<span style="background-color:#FFFF66; padding:3px;">[[Bialgebra]]</span><br/><!--
−
   <span style="background-color:#FF9999; padding:3px">[[Algebra over a ring|Algebra/ring]]</span>
+
--><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>
−
<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>&#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>
−
<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>&nbsp;<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>&nbsp;&nbsp;
−
<span style="font-size:87%; background-color:#FFFFFF; padding:3px"> [[Group with operators]] </span> </div>
+
  |-
−
<div style="font-size:50%; background-color:#333333; padding:1px">.</div>
+
  | style="font-size:50%; background-color:#333333; padding:1px; height:8px" |.
−
</div>
+
  |}
 
  |-
 
  |-
 
  |<span style="position:relative; top:0.5ex;">[[Semifield]]</span>
 
  |<span style="position:relative; top:0.5ex;">[[Semifield]]</span>
Line 32: Line 32:
 
  | 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=left 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; background-color:#E080FF">    group-like structures</div>
−
[[Semigroup]] [[identity element|◀]] [[Monoid]]<br/>
+
  |-
−
[[Quasigroup|Quasigroup ◀ Loop]]<br/>
+
  | align=center style="padding: 0.2em 0 0.4em; border: none;  background-color:#E080FF;"> |<div
−
  [[Magma]]
+
style="background-color:#E080FF">[[Semigroup]] [[identity element|◀]] [[Monoid]]<br/>
−
</div>
+
[[Quasigroup|Quasigroup ◀ Loop]]<br/>  [[Magma]]</div>
 +
        |}
 
  |}<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>

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=29738
Retrieved from "https://encyclopediaofmath.org/index.php?title=User:Incnis_Mrsi/Ring_theory_and_groups&oldid=29741"