Witt, Clear Formula Of Vector Operations

In this paper, taking advantage of the operation on the Witt vector ring, we prove the theorem as follows.Theorem: Suppose a = (a₀,a₁,…,a_n-1),b = (b₀,b₁,…,b_n-1)∈W_n(F₂) , wherea_i,b_i∈F₂. Denote a+b = c = (c₀,c₁,…,C_n-1), where c∈W_n(F₂), c_i∈F₂,thenFrom this theorem, we present the additive formula for W_n (F₂) explicitly. Infact, it is also the additive formula for Z₂. Especially, the additive formula for the integers which are in the 2-adic series is given.