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arithmetic_structure_of_integers [2013/09/03 00:24]
nikolaj
arithmetic_structure_of_integers [2013/09/03 00:25]
nikolaj
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 | @#55EE55: $[\langle a,​b\rangle]+_\mathbb{Z}[\langle m,​n\rangle]=[\langle a+m,​b+n\rangle]$ | | @#55EE55: $[\langle a,​b\rangle]+_\mathbb{Z}[\langle m,​n\rangle]=[\langle a+m,​b+n\rangle]$ |
-| @#55EE55: $[\langle a,​b\rangle]\cdot_\mathbb{Z}[\langle m,​n\rangle]=[\langle a\cdot m+b\cdot n,a\cdot n+b\cdot m\rangle]$ |+| @#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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