Corp finit de caracteristica 2 si polinoame reductibile

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bogdanl_yex
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Corp finit de caracteristica 2 si polinoame reductibile

Post by bogdanl_yex »

Fie \( K \) un corp finit. Sa sa arate ca urmatoarele afirmatii sunt echivalente:
a) \( 1+1=0 \)
b) oricare ar fi \( f \in K[X] \) cu \( \deg f \geq 1 \) rezulta ca \( f(X^{2}) \) este reductibil.

Marian Andronache, ONM 2006
"Don't worry about your difficulties in mathematics; I can assure you that mine are still greater"(Albert Einstein)
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