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f1, f2, , fk R[x] r(f1, f2, . . ., fk) = k
 

Summary:  Һ
f1, f2, , fk R[x]
r(f1, f2, . . ., fk) = k
׺ k k = 1 ׺
0 gr f1 < gr f2 < . . . < gr fk = n fk = anxn
+ +a0
1f1 + +kfk = 0 i = 0 i
x kan
an = 0 k = 0 f1, . . ., fk-1
Ҹ 1 = . . . = k-1 = 0
a1, a2, . . ., ak Rn
aT
i aj = 0
i = j a1, a2, . . . , ak k n
׺ и 1a1 + + kak = 0
i = 0 aT
i
i aT
i aj = 0
iaT

  

Source: goston, Istvn - Institute of Mathematics, Etvs Lornd University

 

Collections: Mathematics