搜索结果: 1-15 共查到“数理逻辑与数学基础 Modules”相关记录15条 . 查询时间(0.395 秒)
Proper Resolutions and Auslander-Type Conditions of Modules
Proper Resolutions Auslander-Type Conditions of Modules
font style='font-size:12px;'>
2011/1/19
We obtain some methods to construct a (strongly) proper resolution (resp. coproper coresolution) of one end term in a short exact sequence from that of the other two terms.
By using this method, we p...
Examples of degenerations of Cohen-Macaulay modules
degeneration Cohen-Macaulay module finite representation type
font style='font-size:12px;'>
2011/2/25
We study the degeneration problem for maximal Cohen-Macaulay modules and give several examples of such degenerations.
A monoidal structure on the category of relative Hopf modules
Hopf modules math
font style='font-size:12px;'>
2010/11/24
Let $B$ be a bialgebra, and $A$ a left $B$-comodule algebra in a braided monoidal category $\Cc$, and assume that $A$ is also a coalgebra, with a not-necessarily associative or unital left $B$-action...
Bilinear Forms on Skein Modules and Steps in Dyck Paths
Skein Modules Steps in Dyck Paths
font style='font-size:12px;'>
2010/11/9
We use Jones-Wenzl idempotents to construct bases for the relative Kauffman bracket skein module of a square with n points colored 1 and one point colored h. We consider a natural bilinear form on thi...
On Singular Localization of $\mathfrak{g}$-modules
On Singular Localization math
font style='font-size:12px;'>
2010/11/9
We prove a singular version of Beilinson-Bernstein localization for a complex semi-simple Lie algebra following the ideas from the positive characteristic case done in \cite{BMR2}.
On the Rank of Multi-graded Differential Modules
Multi-graded Differential Modules math
font style='font-size:12px;'>
2010/11/15
A \mathbb{Z}^d-graded differential R-module is a \mathbb{Z}^d-graded R-module equipped with an endomorphism, \delta, that squares to zero. For R=k[x_1,...,x_d], this paper establishes a lower bound o...
Tree modules
Tree modules matj
font style='font-size:12px;'>
2010/11/11
After stating several tools which can be used to construct indecomposable tree modules for quivers without oriented cycles, we use these methods to construct indecomposable tree modules for every ima...
Weights and t-structures: in general, for 1-motives, mixed motives, and for mixed Hodge complexes and modules
Weights and t-structures 1-motives mixed Hodge complexes and modules
font style='font-size:12px;'>
2010/11/22
We study certain 'weights' for triangulated categories endowed with $t$-structures. Our results axiomatize and describe in detail the relations between the Chow weight structure (introduced in a prec...
Strongly Irreducible Submodules of Modules
irreducible and strongly irreducible module distributive module
font style='font-size:12px;'>
2007/12/11
Strongly irreducible submodules of modules are defined as follows: A submodule $N$ of an $R$-module $M$ is said to be strongly irreducible if for submodules $L$ and $K$ of $M$, the inclusion $L \cap K...
The Factor Decomposition Theorem of Bounded Generalized Inverse Modules and Their Topological Continuity
factor decomposition generalized inverse module map
font style='font-size:12px;'>
2007/12/10
In this paper we obtain a Douglas type factor decomposition theorem about certain important bounded module maps. Thus, we come to the discussion of the topological continuity of $bounded \;generalized...
On Dimension of Modules
Prime Submodule Multiplication module Dimension of a module
font style='font-size:12px;'>
2010/2/26
In this paper we prove the lying over and going down theorems for modules. Finally, we apply the above theorems and prove some results on the dimension of a module and its submodule.
Radical Submodules and Uniform Dimension of Modules
Radical Submodules Modules
font style='font-size:12px;'>
2010/2/26
We investigate the relations between a radical submodule N of a module M being a finite intersection of prime submodules of M and the factor module M/N having finite uniform dimension. It is proved th...
Modules Supplemented Relative to A Torsion Theory
Torsion Theory Supplemented Module
font style='font-size:12px;'>
2010/2/26
This article introduces the concept of a t-supplemented module as follows: Given a hereditary torsion theory in Mod R with associated torsion functor t, we say that a module M is t-supplemented when f...
On Summand Sum and Summand Intersection Property of Modules
SIP modules SSP modules extending modules lifting modules
font style='font-size:12px;'>
2010/3/1
R will be an associative ring with identity and modules M will be unital left R- modules. In this work, extending modules and lifting modules with the SSP (or SIP) are studied. A necessary and suffici...
CESS-Modules
CS-modules modules CESS-modules
font style='font-size:12px;'>
2010/3/4
In this paper, we investigate generalizations of CS-modules, namely CESS-modules, weak CS-modules and modules satisfying a condition (P). Several results are given to show the relationships between th...