Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
magma [2015/02/02 19:04]
nikolaj
magma [2015/04/12 17:48]
nikolaj
Line 1: Line 1:
 ===== Magma ===== ===== Magma =====
 ==== Set ==== ==== Set ====
-| @#55CCEE: context ​    | @#55CCEE: $M$ |+| @#55CCEE: context ​    | @#55CCEE: $M$ ... set | 
 +| @#FFBB00: definiendum | @#FFBB00: $ \langle\!\langle M,* \rangle\!\rangle \in$ magma | 
 +| @#AAFFAA: inclusion ​  | @#AAFFAA: $* \in$ binary operation (M) |
  
-| @#FFBB00: definiendum | @#FFBB00: $ \langle M,* \rangle \in \text{Magma}(M)$ | +----- 
- +=== Elaboration ​===
-| @#55EE55: postulate ​  | @#55EE55: $*$ ...binary operation | +
- +
-==== Discussion ​====+
 The binary operation is often called //​multiplication//​. The binary operation is often called //​multiplication//​.
  
-The axioms ​+The axiom '$* \in$ binary operation (M)' above means that a magma is closed with respect to the multiplication. ​
  
-$*\in \mathrm{BinaryOp}(M)+One generally calls $M$ the Magma, i.e. the set where the operation "​$*$"​ is defined on.
  
-above means that a magma is closed with respect to the multiplication.  +=== Reference ===
- +
-One generally calls $M$ the Magma, i.e. the set where the operation "​$*$"​ is defined on. +
-==== Reference ​====+
 Wikipedia: [[http://​en.wikipedia.org/​wiki/​Magma_%28algebra%29|Magma]] Wikipedia: [[http://​en.wikipedia.org/​wiki/​Magma_%28algebra%29|Magma]]
  
Link to graph
Log In
Improvements of the human condition