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本文提出了一个判别圈环R的元sum from n=1 a_iz_i属消法半群P的充分且必要条件;利用这个结果,我们推广了文献[1]中关于圈环R的除法定理.
In this paper, we present a sufficient and necessary condition for determining the sum of n = 1 a_iz_i belonging to the elimination semigroup P of the ring R. Using this result, we generalize the division theorem for the ring R in [1].