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arithmetic_structure_of_integers [2013/09/03 00:08] nikolaj |
arithmetic_structure_of_integers [2013/09/03 00:24] nikolaj |
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| | @#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: $[\langle a,b\rangle]\cdot_\mathbb{Z}[\langle m,n\rangle]=[\langle a\cdot m+b\cdot n,a\cdot n+b\cdot m\rangle]$ | | ||
| - | 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]]. |
| ==== Discussion ==== | ==== Discussion ==== | ||
| - | We'll generally use the notation introduced in [[integer]]. | + | We'll generally use the notation introduced in [[integer]]. We'll also often omit the multiplication sign. |
| === Reference === | === Reference === | ||
| Wikipedia: [[http://en.wikipedia.org/wiki/Integer|Integer]] | Wikipedia: [[http://en.wikipedia.org/wiki/Integer|Integer]] | ||
