首页 | 本学科首页   官方微博 | 高级检索  
    检索          
共有20条相似文献,以下是第1-20项 搜索用时 62 毫秒

1.  关于L-fuzzifying TOP范畴  
   张友  王书臣《数学季刊》,2003年第18卷第1期
   In this paper,the category of L-FTOP and the relations with the categories of TOP,Lα-FTOP are discussed.    

2.  Cotilting modules with finite left perpendicular categories  
   ZhiWei Li  Pu Zhang《中国科学 数学(英文版)》,2012年第55卷第1期
   We characterize a cotilting module T such that the left perpendicular category ⊥ T is of finite type.    

3.  From recollement of triangulated categories to recollement of abelian categories  
   LIN YaNan & WANG MinXiong      School of Mathematical Sciences  Xiamen University  Xiamen   China   School of Mathematical Sciences  Huaqiao University  Quanzhou《中国科学 数学(英文版)》,2010年第4期
   In this paper,we prove that if a triangulated category D admits a recollement relative to triangulated categories D' and D″,then the abelian category D/T admits a recollement relative to abelian categories D'/i(T) and D″/j(T) where T is a cluster tilting subcategory of D and satisfies i i (T)  T,j j (T) T.    

4.  On one-sided torsion pair  
   Ya-nan LIN & Lin XIN Department of Mathematics  Xiamen University  Xiamen 361005  China Department of Mathematics  Fujian Normal University  Puzhou 350007  China《中国科学A辑(英文版)》,2007年第50卷第1期
   Motivated by the concept of a torsion pair in a pre-triangulated category induced by Beligiannis and Reiten, the notion of a left (right) torsion pair in the left (right) triangulated category is introduced and investigated. We provide new connections between different aspects of torsion pairs in one-sided triangulated categories, pre-triangulated categories, stable categories and derived categories.    

5.  Abelianness of the “missing part” from a sheaf category to a module category  
   CHEN JianMin  LIN YaNan  RUAN ShiQuan《中国科学 数学(英文版)》,2014年第57卷第2期
   This paper investigates the structure of the"missing part"from the category of coherent sheaves over a weighted projective line of weight type(2,2,n)to the category of finitely generated right modules on the associated canonical algebra.By constructing a t-structure in the stable category of the vector bundle category,we show that the"missing part"is equivalent to the heart of the t-structure,hence it is abelian.Moreover,it is equivalent to the category of finitely generated modules on the path algebra of type An-1.    

6.  BGP reflection functors in root categories  
   XIAO Jie  ZHANG Guanglian1'2 & ZHU Bin Department of Mathematical Sciences  Tsinghua University  Beijing 100084  China   Department of Mathematics  Yancheng Teachers College  Yancheng 224002  China《中国科学A辑(英文版)》,2005年第48卷第8期
   We define the BGP-reflection functors in the derived categories and the root categories. By Ringel's Hall algebra approach, the BGP-reflection functor is applicable to obtain the classical Weyl group action on the Lie algebra.    

7.  本刊英文版2014年57卷第2期摘要  
   《中国科学:数学》,2014年第2期
   New schemes with fractal error compensation for PDE eigenvalue computations;Abelianness of the "missing part" from a sheaf category to a module category;Totally compatible associative and Lie dialgebras, tridendriform algebras and PostLie algebras    

8.  DIGRAPH CATEGORIES AND LINE DIGRAPH FUNCTORS  
   张福基  李学良  黄琼湘  刘新《数学年刊B辑(英文版)》,1992年第3期
   The authors define line digraph functors on digraph category which are full and faith-ful and,as a consequence of the result,determine all homomorphisms in De Bruijn-Goodgraph category and automorphisms of Kautz digraph category.Moreover the authorsconsider a type of arc-full morphisms of digraph category such that F~n(f) is arc-full foreach functor F~n,and succeeding paper [9] study the strong homomorphisms of de Bruijn-Good digraph.    

9.  广义直觉模糊集的范畴  
   YANG Wan-cai  LI Xiao-shen 《数学季刊》,2005年第20卷第2期
   In this paper, category GIFS of generalized intuitionistic fuzzy sets(GIF) is built up. Topoi properties of category GIFS axe studied. Firstly, it is proved that the category GIFS has all topoi properties except that it has no subobject classifiers, Secondly, it is proved that the category GIFS has middle object and consequently GIFS is a weak topos.Thirdly, by the use of theory of weak topos GIFS,the power object of an object in GIFS is studied.    

10.  Stone's representation theorem in fuzzy topology  
   刘应明  张德学《中国科学A辑(英文版)》,2003年第46卷第6期
   In this paper, a complete solution to the problem of Stone's repesentation theorem in fuzzy topology is given for a class of completely distributive lattices. Precisely, it is proved that if L is a frame such that 0 ∈ L is a prime or 1 ∈ L is a coprime, then the category of distributive lattices is dually equivalent to the category of coherent L-locales and that if L is moreover completely distributive, then the category of distributive lattices is dually equivalent to the category of coherent stratified L-topological spaces.    

11.  Hom Functors from A Regular Category  
   于永溪《数学研究与评论》,1986年第2期
   This paper aims to show the exactness of Hom functors with domain a regular category and codomain the category set. I°In [Ⅰ], we put forward a problem: To what degree and to which categories with ferminal objects can HAA (homological algebra in abelian categories)be naturally extended? By "naturally"we mean that the generalized theory degenerate into the theory of HAA when the terminal objects are nullS.    

12.  TOPOLOGIES GENERATED BY FUNCTORS  
   于永溪《数学研究与评论》,1986年第3期
   1. This note aims to introduce the notion of the categories with topologies and to discuss topologies generated by functors. A topological semigroup is a category with topologies, in addition, Propositions 10 and 11 will show the generated topologies compatible with adjoint equivalences and bijective half-functors (which are generalized inverse operations in an n-preadditive category, see [1]). Thus, we can believe that there are natural connections between topological and algebraic structures in category structure. In this direction, we shall propose several papers and this note will be an introduction of them.    

13.  The double Ringel-Hall algebra on a hereditary abelian finitary length category  
   DOU RuJing   LIU QunHua & XIAO Jie Academy of Mathematics    Systems Science  Chinese Academy of Science  Beijing   China   Institute for Algebra    Number Theory  University of Stuttgart  Stuttgart   Germany《中国科学 数学(英文版)》,2011年第2期
   In this paper, we study the category H (ρ) of semi-stable coherent sheaves of a fixed slope ρ over a weighted projective curve. This category has nice properties: it is a hereditary abelian finitary length category. We will define the Ringel-Hall algebra of H (ρ) and relate it to generalized Kac-Moody Lie algebras. Finally we obtain the Kac type theorem to describe the indecomposable objects in this category, i.e. the indecomposable semi-stable sheaves.    

14.  Localization on certain Grothendieck categories  
   F. Castaño-Iglesias  N. Chifan  C. Năstăsescu《数学学报(英文版)》,2009年第25卷第3期
   Using categorical techniques we obtain some results on localization and colocalization theory in Grothendieck categories with a set of small projective generators. In particular, we give a sufficient condition for such category to be semiartinian. For semiartinian Grothendieck categories where every simple object has a projective cover, we obtain that every localizing subcategory is a TTF-class. In addition, some applications to semiperfect categories are obtained.    

15.  The Change-Base Issue for Ω-Categories  
   Chengling FANG  Dexue ZHANG《数学年刊B辑(英文版)》,2008年第29卷第4期
   Let G : Ω→Ω' be a closed unital map between commutative, unital quantales. G induces a functor G^- from the category of Ω-categories to that of Ω'-categories. This paper is concerned with some basic properties of G^-. The main results are: (1) when Ω, Ω' are integral, G : Ω→Ω' and F : Ω'→Ω are closed unital maps, F is a left adjoint of G^- if and only if F is a left adjoint of G; (2) G^- is an equivalence of categories if and only if G is an isomorphism in the category of commutative unital quantales and closed unital maps; and (3) a sufficient condition is obtained for G^- to preserve completeness in the sense that GA is a complete Ω'-category whenever A is a complete Ω-category.    

16.  On the Category of Koszul Modules of Complexity One of an Exterior Algebra  
   Jin Yun GUO Bing Jun LI Qiu Xian WU《数学学报(英文版)》,2006年第22卷第3期
   In this paper, we prove that there is a natural equivalence between the category F1(x) of Koszul modules of complexity 1 with filtration of given cyclic modules as the factor modules of an exterior algebra A = ∧V of an m-dimensional vector space, and the category of the finite-dimensional locally nilpotent modules of the polynomial algebra of m - 1 variables.    

17.  Yetter–Drinfeld Modules over Weak Braided Hopf Monoids and Center Categories  
   Jos Nicanor ALONSO LVAREZ  Ramón GONZLEZ RODRIGUEZ  Carlos SONEIRA CALVO《数学学报(英文版)》,2014年第30卷第4期
   In this paper, we introduce several centralizer constructions in a monoidal context and establish a monoidal equivalence with the category of Yetter-Drinfeld modules over a weak braided Hopf monoid. We apply the general result to the calculus of the center in module categories.    

18.  对偶的Hom型拟Hopf代数的余表示和范畴实现  
   程永胜  宋光爱《数学研究及应用》,2015年第35卷第2期
   In this paper, we introduce the dual Hom-quasi-Hopf algebra and prove that the comodules category of a(braided) dual Hom-quasi-bialgebra is a monoidal category. Finally,we give a categorical realization of dual Hom-quasi-Hopf algebras.    

19.  Quantaloid-enriched 范畴上的闭包算子与闭包系统  
   刘敏  赵彬《数学研究及应用》,2013年第33卷第1期
   In this paper, we introduce the fundamental notions of closure operator and closure system in the framework of quantaloid-enriched category. We mainly discuss the relationship between closure operators and adjunctions and establish the one-to-one correspondence between closure operators and closure systems on quantaloid-enriched categories.    

20.  偏倾斜模和倾斜模的分次与非分次性质  
   郑敏  陈清华《数学研究及应用》,2009年第29卷第2期
   This paper gives the relationships among partial tilting objects (tilting objects) of categories of graded left A-modules of type G, left A-modules, left Ae-modules and A#-modules, and then proves that for graded partial tilting modules, there exist the Bongartz complements in the category of graded A-modules.    

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号