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User:Incnis Mrsi/Ring theory and groups

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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
Semigroup ◀ Monoid
Quasigroup ◀ Loop
  Magma

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=29741
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