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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]]. |