This letter is a continuation of previous work(Scientia Sinica, 27(1984), 1: 16—23). By using number-theoretic and model-theoretic arguments, we establish the existence of Goldbach and nonGoldbach extension rings of ...This letter is a continuation of previous work(Scientia Sinica, 27(1984), 1: 16—23). By using number-theoretic and model-theoretic arguments, we establish the existence of Goldbach and nonGoldbach extension rings of certain cyclotomic rings of integers and of some related rings of integers. The results obtained are as follows (The following Lemma is cited from the author’s previous work to help the reader to comprehend Theorem 1).展开更多
文摘This letter is a continuation of previous work(Scientia Sinica, 27(1984), 1: 16—23). By using number-theoretic and model-theoretic arguments, we establish the existence of Goldbach and nonGoldbach extension rings of certain cyclotomic rings of integers and of some related rings of integers. The results obtained are as follows (The following Lemma is cited from the author’s previous work to help the reader to comprehend Theorem 1).