模范畴

一类赋值模范畴中的Hom函子

A kind of Hom functors in the evaluated modular category

三角Hopf代数模范畴上的Lie结构间的对偶

Dual of lie structures over triangular Hopf algebra module category

右（D，B）-Doi-Hopf模范畴上的扭曲

Twist of the Category of Right ( D , B ) - Doi-Hopf Modules

n级三角矩阵环上的模范畴和同调特征

The Category of Modules over a Triangular Matrix Ring of Order n and Its Homological Characterizations

三类模范畴的K0群

K_0 Groups on Three Categories of Special Modules

赋值模范畴Fm中的张量函子

Tensor Functors in the Category F_m of Evaluated Modules

而路代数的AR箭图对于研究该代数上的整个模范畴的结构具有重要的作用。

AR quiver in path algebra plays an important part for studying module category over this algebra .

量子交换余模代数与相对Hopf模范畴

Quantum Commutative Comodule Algebras and Categories of Relative Hopf Modules

关于有限群分次模范畴的Watts定理

On Watts Theorem Over a Category of Finitely Group Graded Modules

量子GLn的模范畴等价于无穷多个q-Schur代数的模范畴的直和。

The module category of quantum GL_n is a direct sum of the ones of infinitely many q-Schur algebras .

设Γ是三级三角矩阵代数，modΓ表示Γ上的有限生成模范畴，Γζ是与modΓ等价的范畴。

Let г be 3 order triangular matrix algebra , mod Γ be finitely generated module category over Γ and Γ ~ ζ equivalent category with Γ .

引入了一类赋值模范畴Fm及赋值模的张量积概念，并进一步找到张量函子在Fm中存在的条件。

Introduced the category F m of the evaluated modules and constructed Hom functors , introduced the concept of tensor products for evaluated modules and then find the condition for existence of the tensor functors .

本文主要研究了半群分次环上的Morita对偶问题，得到了半群分次模范畴上满足某种条件的对偶函子与双分次双模之间的等价关系。

This paper discuss Morita Duality of semigroup-graded rings , and get a equivalence between duality functor of graded module category and bi-graded bimodule .

本文证明了K－空间上的一个主要性质，给出了此性质在模范畴上不成立的反倒，并且用此性质简化了Hopf代数某些定理的证明。

The paper proves a main property of K-space and gives the examples to show this property not correct in module categories , then simplifies the proofs of some Hopf algebra theorem using the property .

文章给出了三级三角矩阵环Г的定义，通过建立一个等价函子F，证明了三角矩阵代数Г上的有限生成模范畴modГ与Г￡是等价的范畴。

This paper gives the definition of triangular matrix rings of order 3 Γ, and by establishing an equivalent functor F , proved here is also the equivalence between finitely generated module category mod Γ over triangular matrix algebra Γ of order 3 and category Γ ￡ .

Crawley-Boevey将例外序列的概念引入路代数的表示理论中，并证明了辫子群对路代数的模范畴中的完备例外序列的作用是可迁的。

Crawley-Boevey introduced the conception of exceptional sequence to the representation theory of path algebra . He has shown that the braid group acts transitively on the set of complete exceptional sequence .

无单位元的群分次环与G/H-分次模范畴

Graded Rings without Identity and G / H-graded Module Category

群与模范畴中的积和余积

Product and coproduct of group category and module category

分次环与模范畴上的伴随函子

Graded rings and adjoint functors over module category

强分次环与非分次模范畴

Strongly Graded Rings and Un graded Module Categories

模范畴中的群逆

The Group Inverse in Categories of Modules

本文主要研究了广义幂级数环上的模范畴理论。

In this dissertation , we mainly study on module categories over generalized power series rings .

建立凸集范畴与K－模范畴的基本代数联系。

Some basic algebraic connections between the category of convex sets and the category of K-modules are established .

张量积函子是同调代数中研究模范畴的重要工具。

Functor of a tensor product is a main tool of the study of the category of mo-dules in the Homological Algebra ;

并研究了Koszul-型模范畴的广义扩张封闭和Koszul-型代数的单点扩张等问题。

Further more , the generalized extension closure of Koszul-type modules is discussed and the one point extension of Koszul-type algebras is investigated as well .

刻画了重复代数的模范畴的稳定范畴里的一个满子范畴，并且证明了其上存在Auslander-Reiten三角。

And based on this we character a full subcategory of the category of modules of repetitive algebras and get some relationship with the derived category .

代数表示论主要研究有限维代数的结构、不可分解表示和模范畴的构造。

Representation Theory of Artin Algebras is a subject in which one mostly studies structures of finite dimension algebras , indecomposable representations and global construction of module categories .

证明了广义限制李代数意义下的诱导模成为（？）-模范畴对象。

We prove that as a generalized restricted Lie algebra , the induced modules of S ( m ; n ) are objects of the (?) - module category .

代数表示论则是兴起于二十世纪七十年代的一个重要数学分支，主要研究有限维代数的结构，不可分解表示和模范畴的构造。

As an important branch of mathematics , the theory of representation of algebras was developed in the seventies of the twentieth century and mainly studies the structure of finite-dimensional algebra , indecomposable representation and the construction of module category .

本文讨论了分次模范畴等价的两个分次代数的循环同调群之间的关系以及范畴gr-R，GR-R上的分次循环同调的形式。

This article considers the relation between cyclic homology groups of two graded algebras whose categories of graded modules are equivalent , and discusses the definition and property of the graded cyclic homology of the category gr - R and GR - R.