We prove the following results:(1) R is a fPF ring if and only if for each a∈R there exists f∈H(R) such that ann_R(f(a)) is a pure ideal of R.
本文研究了较ＰＦ—环更广泛的一类环，被称为ｆＰＦ—环，得到如下结果：（１）Ｒ是ｆＰＦ—环当且仅当对于每个ａ∈Ｒ，存在ｆ∈Ｈ（Ｒ），使得ａｎｎ＿Ｒ（ｆ（ａ））是Ｒ的一个纯理想；（２）设Ｒ是局部环，则Ｒ是ｆＰＦ—环当且仅当对于每个ａ∈Ｒ，存在ｆ∈Ｈ（Ｒ）使得ｆ（ａ）＝０或者ｆ（ａ）不是零因子；（３）Ｒ是ｆＰＦ—环当且仅当对每个ａ∈Ｒ。
the right annihilator of X in R is Pure ideal.
证明了环Ｒ为左ＰＰ环的充要条件是Ｒ的任一非空子集的右零化子是纯理想。
Discusses the simple ideal extensions S of a group G of prime order by a finite commutative nilpotent semigroup N on a tree and specifies the sufficient and necessary conditions for the existance of such extensions and gives the number of such extensions as well.
研究了素数阶群G按树上的有限交换幂零半群N的单纯理想扩张S 。
Simple ideal extension of a group of prime order by a finite commutative nilpotent semigroup on a tree
素数阶群按树上有限交换幂零半群的单纯理想扩张
On Immanuel Kant s "Synthetical Judgments a Priori" in Critique of Pure Reason;
《纯粹理性批判》核心思想及其价值
An Interpretation of Theory of Transcendental Deduction of Critique of Pure Reason
《纯粹理性批判》之先验演绎思想解读
It is unclear whether proposals have gone beyond the speculative stage.
人们并不清楚，这些想法是否已超越纯理论阶段。
The pure office of poetry is ever to idealize.
诗的纯正功能向来都是理想化地描绘事物。
Discussion of Pure Archimedean Semigroup
纯阿基米德半群与其理想之间的等价关系
Some features of orthodox transversals are characterized, then we prove that the hulls of regular semigroups with quasi-ideal orthodox transversals are also regular semigroups with quasi-ideal orthodox transversals.
本文在给出纯正断面的特征刻划之后,证明了含拟理想纯正断面的正则半群。
A lot of ideas are feeding back from the applied sciences into the pure sciences.
许多来自应用科学的思想正不断反馈给纯理论科学。
The pure atmosphere and ideal climate makes the tea very special.
纯净天然的环境和理想的气候使这茶显得格外独特。
unclean `minds,`hearts,`thoughts
不纯洁的头脑、心灵、思想.
Language Engagement of Pre-Qin Chinese Philosophy and Ideological Orientation of School of Names;
纯语言性反思与分析理性思想的端倪——先秦哲学的语言关涉与名家思想取向
Hong Kong has also been chosen as an ideal venue to host "pure theoretical" forums and symposiums.
“纯理念”的、观念碰撞式的论坛和研讨会，也纷纷把香港作为理想的举办地。
Any country on permanent military supremacy has become illusory.
任何国家要想永保军事优势，纯属幻想。
The dogma of laissez-faire and night watcher is either a pure ideal or a myth.
自由放任和守夜人的说法，或者完士是一种理想，或者纯属虚构的神话。
"Really, madame, this is a scruple which naturally must occur to a pure mind like yours, but which would easily yield before sound reasoning.
“真的，夫人，象您这样思想纯洁的人，一定会产生这种迟疑但这种迟疑很容易屈服于坚强的理智。
"Zong Chunshan, the director of Beijing Youth Law & Psychology Consulting Centre said: "Teenagers come across new ideas and objects every day. "
北京市青少年法律与心理咨询中心主任宗纯善说:"青少年每天都有新想法,遇到新事物。"
Pacific Century Cyberworks returned to the black with a better-than-expected net profit of$935 million in the first six months of the year.
电讯盈科今年首六个月业绩转亏为盈，录得九亿三千五百万元纯利，较预期理想。
A said if not hoisted,I a useless piece of cloth;An ideal,if not put into effect,Is a purely visionary mist.
帆若不挂上桅杆，是一块无用的布；理想若不付出行动，纯粹是虚无缥缈的梦。