Difference between revisions of "Template:Abstract algebra navbox"

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[[Category:Abstract Algebra]]
 
[[Category:Abstract Algebra]]
 
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{{Todo|Decide on a term for things like "homomorphism" of these group like structures, semigroup seems to be the "highest parent type" thus "homomorphism (semigroup)" is a good candidate, however "homomorphism (group-like structure)" is perhaps better}}
 
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Revision as of 17:34, 1 February 2016

v • d • e
Abstract algebra
Overview of the basic and important objects of abstract algebra
Single operation objects
semigroup [ilmath]\supset[/ilmath] monoid [ilmath]\supset[/ilmath] group
Commutative single operation objects
Related objects of semigroups
(thus all monoids and groups too)
Entire semigroup: Centre, Subsemigroup, Order
Of subset: Centraliser, stability, Generator
Of element: Orbit, Generator, Order
Related objects of monoids
(thus all groups too)
Related objects of groups
Important group theorems
Mappings between semigroups
(thus between monoids and groups too)
Constructing new semigroups from old
Group constructions
Objects related to mappings between groups

TODO: fill this out


TODO: This is very "group-like" at the moment (1/2/2015 @ 1730), perhaps splitting it into other navboxes would be good


TODO: Decide on a term for things like "homomorphism" of these group like structures, semigroup seems to be the "highest parent type" thus "homomorphism (semigroup)" is a good candidate, however "homomorphism (group-like structure)" is perhaps better


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