Difference between revisions of "User:Incnis Mrsi/Ring theory and groups"
From Encyclopedia of Mathematics
Incnis Mrsi (talk | contribs) (collapsible?) |
Incnis Mrsi (talk | contribs) (this buggy wiki corrupts my HTML for some unclear reason) |
||
| Line 3: | Line 3: | ||
|- | |- | ||
| colspan=3 | | | colspan=3 | | ||
| − | + | {| class="navbox collapsible {{#ifeq:{{{show}}}|lower|collapsed}}" style="border: none; padding: 0; background-color:#99FFFF"> | |
| − | + | !<div class="NavHead" style="font-size: 80%; text-align: left;"> overstructures</div> | |
| + | |- | ||
| + | | align=right style="padding: 0.2em 0 0; line-height:2.5ex; background-color:#99FFFF" |<!-- | ||
| + | --><span style="background-color:#FFFF66; padding:3px;">[[Division algebra]]</span> | <span style="background-color:#FFFF66; padding:3px;">[[Bialgebra]]</span><br/><!-- | ||
| + | --><div> <span style="display:inline-block; background-color:#FFBB66; text-align:center;"> [[Lie algebra|Lie a.]] | | [[Associative rings and algebras|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="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:#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="font-size:87%; background-color:#FFFFFF; padding:3px;">[[Group with operators]] </span> | ||
|- | |- | ||
| − | | | + | | style="font-size:50%; background-color:#333333; padding:1px; height:8px" |. |
| − | + | |} | |
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
|- | |- | ||
|<span style="position:relative; top:0.5ex;">[[Semifield]]</span> | |<span style="position:relative; top:0.5ex;">[[Semifield]]</span> | ||
| Line 31: | Line 32: | ||
| colspan=2 |[[Abelian group]] | | colspan=2 |[[Abelian group]] | ||
|- | |- | ||
| − | | colspan=3 align= | + | | colspan=3 align=left bgcolor=#E080FF | |
{| class="navbox collapsible {{#ifeq:{{{show}}}|higher|collapsed}}" style="border: none; padding: 0; background-color:#E080FF"> | {| class="navbox collapsible {{#ifeq:{{{show}}}|higher|collapsed}}" style="border: none; padding: 0; background-color:#E080FF"> | ||
| − | + | !<div class="NavHead" style="font-size: 80%; text-align: left; background-color:#E080FF"> group-like structures</div> | |
|- | |- | ||
| − | | style="padding: 0.2em 0 0.4em; | + | | align=center style="padding: 0.2em 0 0.4em; border: none; background-color:#E080FF;"> |<div |
| − | - | + | style="background-color:#E080FF">[[Semigroup]] [[identity element|◀]] [[Monoid]]<br/> |
| − | + | [[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 | |||||
|---|---|---|---|---|---|
| |||||
| 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=29739
Incnis Mrsi/Ring theory and groups. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Incnis_Mrsi/Ring_theory_and_groups&oldid=29739