Difference between revisions of "Template:Abstract algebra navbox"
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|group2=[[Commutative]] single operation objects | |group2=[[Commutative]] single operation objects | ||
|list2=[[Abelian semigroup]] [[Abelian monoid]] {{M|\supset}} [[Abelian group]] | |list2=[[Abelian semigroup]] [[Abelian monoid]] {{M|\supset}} [[Abelian group]] | ||
| − | |group3=Related objects of | + | |group3=Related objects of semigroups<br/><span style="font-weight:normal">(thus all monoids and groups too)</span> |
| − | |list3='''Entire | + | |list3='''Entire semigroup: ''' [[Centre]], [[Subsemigroup]], [[Order (semigroup)|Order]]<br/>'''Of subset: ''' [[Centraliser]], [[Stable|stability]], [[Generator (semigroup, subset)|Generator]] <br/>'''Of element: '''[[Orbit]], [[Generator (semigroup, element)|Generator]], [[Order (semigroup, element)|Order]] |
| − | |group4=Related objects of | + | |group4=Related objects of monoids<br/><span style="font-weight:normal">(thus all groups too)</span> |
| − | |list4= | + | |list4=[[Submonoid]] |
|group5=Related objects of groups | |group5=Related objects of groups | ||
| − | |list5=[[Normal subgroup]] | + | |list5=[[Subgroup]], [[Normal subgroup]], [[Index (group)|Index]] |
|group6=Important semigroup theorems | |group6=Important semigroup theorems | ||
|list6= | |list6= | ||
| Line 26: | Line 26: | ||
|group8=Important group theorems | |group8=Important group theorems | ||
|list8=[[Group isomorphism theorems|3 isomorphism theorems]], [[Butterfly lemma]] | |list8=[[Group isomorphism theorems|3 isomorphism theorems]], [[Butterfly lemma]] | ||
| + | |group9=Mappings between semigroups<br/><span style="font-weight:normal">(thus between monoids and groups too)</span> | ||
| + | |list9=[[Semigroup homomorphism|Homomorphism]], [[Set of homomorphisms (semigroup)|The set {{M|\text{Hom}(X,Y)}} of homomorphisms between {{M|X}} and {{M|Y}}]], [[Semigroup morphisms|Other morphisms]] | ||
| + | |group10=Constructing new semigroups from old | ||
| + | |list10=[[Direct product (semigroups)|Direct product]], [[Direct sum (semigroups)|Direct sum]] | ||
| + | |group11=Group constructions | ||
| + | |list11=[[Quotient (group)|Quotient group]] | ||
| + | |group12=Objects related to mappings between groups | ||
| + | |list12=[[Image (group homomorphism)|Image]], [[Kernel (group homomorphism)|Kernel]] | ||
}}<noinclude> | }}<noinclude> | ||
[[Category:Navboxes]] | [[Category:Navboxes]] | ||
Revision as of 17:02, 1 February 2016
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