2015-12-4: Difference between revisions
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(i) Exista <math>g \in K[X]</math> astfel incat <math>f(X)=g(X^{m-1})</math>; | (i) Exista <math>g \in K[X]</math> astfel incat <math>f(X)=g(X^{m-1})</math>; | ||
(ii) Pentru orice <math>a \in K^*</math> avem <math>f(X)=f(aX)</math>. | (ii) Pentru orice <math>a \in K^*</math> avem <math>f(X)=f(aX)</math>. | ||
\end{enumerate}</math> | \end{enumerate}</math> | ||
Revision as of 14:29, 2 September 2023
Fie un corp cu elemente si . Aratati ca urmatoarele afirmatii sunt echivalente:
![{\displaystyle f\in K[X]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b6ec2d50f6317a5098e90e7e9742f89a1f133824)
(i) Exista astfel incat ;
![{\displaystyle g\in K[X]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1414a4dff7c6064b41a4f7921cec55ef1c78a934)
(ii) Pentru orice avem .
\end{enumerate}</math>