1) quotient category
商范畴
1.
For Smash product of semigroup-graded category,we prove that the quotient category(C#S)/S of Smash product C#S of semigroup S graded category C is isomorphic to category C,and the Smash product category(B/S)#S of the quotient category B/S of free semigroup S category B is isomorphic to category B when S is a cancellative semigroup with identity 1.
设S为有单位元1的可消半群,引入半群S-分次范畴的Smash积的概念,分别证明半群S-分次范畴C的Smash积C#S的商范畴(C#S)/S与范畴C同构,以及自由半群S-范畴B的商范畴B/S的Smash积范畴(B/S)#S与范畴B同构。
2.
In this paper , the quotient category of an idempotent completed category C modulo M is proved to be equivalent to the idempotent completed category of the quotient category CM, under the assumption that M is an ideal of the additive category C and the idempotent morphism in C can be lifted, where .
设M是加法范畴C上的理想,若商范畴C/M是幂等可提升的,令M=│a∈Mor(C)│a∈M│,本文证明商范畴C/M与对范畴C/M的幂等完备化范畴C/M是范畴等价的。
2) On Category of Personality of Commercial subject
商主体人格范畴论
3) scope
[英][skəʊp] [美][skop]
范畴
1.
In the present study, the writers lay emphasis on the analysis of the scope of medical civil judicature, and discuss its definition and contents so as to make a basic research for the establishment of the medical civil ju.
医事民事司法范畴研究一文,着重介绍医事民事司法的范畴,探讨其内涵和外延,为医事民事司法的构建作铺垫性研究。
2.
There are differences in connotation and research scope between the two, and they also have natural and intrinsic relations:research of the former necessarily extends to the later, and research of later necessarily trace to the former.
课程论是解决“教什么”的问题,教学论是解决“怎么教”的问题,两者内涵与研究的范畴不同,又有着天然的内在联系。
4) category
[英]['kætəɡəri] [美]['kætə'gɔrɪ]
范畴
1.
Methods and shift of water right category study;
水权范畴研究路径及其转向
2.
Benefit, the Crucial and Basic Category of Historical Materialism Theoretical System;
利益是唯物史观理论体系重要的基础性范畴
5) Categories
[英]['kætigəri] [美]['kætə,gorɪ]
范畴
1.
Dull for Categories with only Local Units;
仅有局部单位元环上的范畴对偶
2.
System science has its own laws,principles and categories.
系统科学有其自身的规律、原理和范畴。
3.
On the base of categories Fuz,FR(Y) and FuzFuz having “middle object and weak SC”,concept of a middle object in an abstract category is introduced by the use of poset and partial order relation of morphisms and a Cartesian Closed category with middle object is called a weak topos.
在已知范畴 Fuz,范畴 FR( Y) ,范畴 F uz Fuz有“中间物质和弱 SC”的基础上 ,利用偏序集和态射之间的偏序关系在一个抽象的范畴中给出中间物质的定义 ,将具有中间物质的 Cartesian Closed范畴称为一个弱 topos,并证明了范畴 F uz,范畴 FR( Y)和范畴 F uz Fuz都是弱 topos,从而在 Cartesian Closed范畴与 topos之间又引入了一种结
6) concept
[英]['kɔnsept] [美]['kɑnsɛpt]
范畴
1.
"Guan",as an important concept of Buddhist aesthetics,is a meaningful aesthetic idea judged either from the objects or from the nature of Guan.
观,作为佛教美学的重要范畴,无论是从观照对象还是从观照本心两个层面来看,都是一种佛教智慧的观照作用(一种意蕴深厚的审美观照),乃是一种冥想,亦即一种直观,一种直觉思维方式。
2.
"Value" is a key concept in both philosophy and economics,and a term highly frequent in daily life.
"价值"既是哲学领域的重要范畴,又是经济学领域的基本范畴,更是日常用语中使用频率颇高的一个词汇。
3.
Feng & Gu" which means the vigour of style is a important concept in the field of Chinese classic aesthetics .
“风骨”是中国古典美学中一个重要的范畴 ,它贯穿于书法、绘画、文学等多个领域。
补充资料：商范畴
商范畴
quotient category
商范畴〔明浏画tCa魄.含;中~p‘aTeropHa] 类似于商集与商代数的一种构造.设只为任意的一个范畴(cat姚驹ry)，假定在其态射类Mor厌上给定了一种等价关系一，使满足下列条件:1)若:一P，则态射:与口有相同的源与目标;与2)如果二一P，，一占，并且乘积:，是有定义的，则二下一尹占.以【:]表示“的等价类，则由一所构造的介的商范畴(quD咖ni口橱即ry)是这样的一个范畴(记作凭/~)，它与提有相同的对象，且对任一对对象A，B，众/一中的态射集H(A，B)是由等价类【刘所组成的，这里笼A~B是介中的态射;两个态射[:]与印]的乘积是由公式[“]I刀]二[二刀]来定义的(当乘积二刀有定义时). 每一个小范畴(smallca询卯ry)都可以表示为某一个适当的有向图上的路范畴之商范畴.M.班.双aJIe袱。撰[补注】任一个满足上述条件的等价类通常都称为介上的一个合同(congruenCe)(见合同(代数学中的)(co刊歹切泊ce(谊al罗bra))).
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条