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arithmetic_structure_of_integers [2013/09/03 00:25]
nikolaj
arithmetic_structure_of_integers [2014/03/21 11:11] (current)
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 ===== Arithmetic structure of integers ===== ===== Arithmetic structure of integers =====
-==== Definition ​==== +==== Set ==== 
-| @#FFBB00: $\langle \mathbb Z,​+_\mathbb{Z},​\cdot_\mathbb{Z} \rangle$ |+| @#FFBB00: definiendum ​| @#FFBB00: $\langle \mathbb Z,​+_\mathbb{Z},​\cdot_\mathbb{Z} \rangle$ |
  
-| @#55EE55: $[\langle a,​b\rangle]+_\mathbb{Z}[\langle m,​n\rangle]=[\langle a+m,​b+n\rangle]$ | +| @#55EE55: postulate ​  | @#55EE55: $[\langle a,​b\rangle]+_\mathbb{Z}[\langle m,​n\rangle]=[\langle a+m,​b+n\rangle]$ | 
-| @#55EE55: $[\langle a,​b\rangle]\cdot_\mathbb{Z}[\langle m,​n\rangle]=[\langle a\ m+b\ n,a\ n+b\ m\rangle]$ |+| @#55EE55: postulate ​  | @#55EE55: $[\langle a,​b\rangle]\cdot_\mathbb{Z}[\langle m,​n\rangle]=[\langle a\ m+b\ n,a\ n+b\ m\rangle]$ |
  
 The operations $+$ and $\cdot$ on the right hand sides are these of [[arithmetic structure of natural numbers]]. The operations $+$ and $\cdot$ on the right hand sides are these of [[arithmetic structure of natural numbers]].
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 === Reference === === Reference ===
 Wikipedia: [[http://​en.wikipedia.org/​wiki/​Integer|Integer]] Wikipedia: [[http://​en.wikipedia.org/​wiki/​Integer|Integer]]
-==== Context ​==== +==== Parents ​==== 
-=== Requirements ​===+=== Context ​===
 [[Integer]] [[Integer]]
 === Element of === === Element of ===
 [[Unital ring]] [[Unital ring]]
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