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- By means of Gauss Lemma and formal matrix, it is proved that quotient rings of a unique factorization domain (UFD) with respect to its principal ideals are Armendariz rings, and we present a condition for R[x]/(x 2-1) to be an Armendariz ring. 應用Gauss引理及形式矩陣;證明了惟一分解整環(UFD)關於主理想的商環是Armendariz環;給出了R[x]/(x2-1)為Armendariz環的條件.
- ascending chain condition on principal ideals 主理想升鏈條件
- Ascending chain conditon on principal ideals 主理想升鏈條件
- The Dimension of principal ideal and its quotient 主理想及其商理想的維數
- On the matrices over a principal ideal domain 關於主理想整環上的矩陣
- A principal ideal ring that is not a Euclidean ring 不是歐氏環的主理想環
- ascending chain condition for principal ideal 主理想升鏈條件
- finite Artin local principal ideal ring 有限Artin局部主理想環
- non-commutative principal ideal ring 非交換主理想環
- He was known to be a young man with lofty ideals. 人們都知道他是一個有抱負的青年。
- My wages are the principal source of my income. 薪金是我收入的主要來源。
- The principal shareholder ask for a meeting. 主要股東們要求召開會議。
- The agent spoke on behalf of his principal. 代理人代表他的委託人說話。
- Keys are available on application to the principal. 向校長申請就可得到鑰匙。
- He finds it hard to live up to his ideals. 他認為很難按自己的理想辦事。
- She tries up to live up to her ideals. 她努力要實現她的理想。
- She's been downgraded (from principal) to deputy. 她已(從校長)降為副校長。
- Our principal problem is lack of time. 我們的主要問題就是缺少時間。
- It is an ideal day for a picnic. 這是一個出外野餐的理想日子。
- For all its richness and all its progress, it is not an ideal society. 儘管它很富有，也很進步，但它不是一個理想的社會。
