Difference between revisions of "User:Incnis Mrsi/Ring theory and groups"
From Encyclopedia of Mathematics
Incnis Mrsi (talk | contribs) (A more advanced analogue of Wikipedia: Template:Algebraic structures. It uses some formatting code from English Wikipedia which, I hope, is ineligible for copyright) |
Incnis Mrsi (talk | contribs) (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 | + | | 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> | |
| − | <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.]] | + | | 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.]] | | [[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> | + | --><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> | + | |} |
| − | |||
|- | |- | ||
|<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 | | + | | colspan=3 align=center bgcolor=#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;"> 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/><!-- |
| − | + | -->[[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=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