搜索结果: 1-10 共查到“代数学 module”相关记录10条 . 查询时间(0.019 秒)
Not every object in the derived category of a ring is Bousfield equivalent to a module
Not every object derived category ring Bousfield equivalent module
2012/3/1
We consider the derived category of a specific non-Noetherian ring \Lambda, and show that there are objects in D(\Lambda) that are not Bousfield equivalent to any module. This answers a question posed...
Rings over which every module has a flat $δ$-cover
-covers -perfect rings -semiperfect rings Flat modules
2011/8/25
Abstract: Let $M$ be a module. A {\em $\delta$-cover} of $M$ is an epimorphism from a module $F$ onto $M$ with a $\delta$-small kernel. A $\delta$-cover is said to be a {\em flat $\delta$-cover} in ca...
Arens Regularity and Module Arens Regularity of Module Actions
Arens regularity Bilinear mappings Topological center Second dual
2011/1/20
In this paper, we extend some problems from Arens regularity and module Arens regularity of Banach algebras to module actions.
The GL_n(q)-module structure of the symmetric algebra around the Steinberg module
GL_n(q)-module structure symmetric algebra Steinberg module
2011/1/17
We determine the graded composition multiplicity in the symmetric algebra S•(V ) of the natural GLn(q)-module V , or equivalently in the coinvariant algebra of V ,for a large class of irreducibl...
Pentagonal Relations and the Exchange Module of the Type $A_n$ Cluster Algebra
Associahedron Cluster Algebra Discrete Homotopy Theory
2011/1/21
In this paper we study relations between the exchange relations in the cluster algebra of type-An, which has the 1-skeleton of the associahedron as its exchange graph, and the complex of triangulation...
Transformation of operator algebras under Hopf algebra twist is studied. It is shown that that adjoint module algebras are stable under the twist. Applications to vector fields on non-commutative spac...
We obtain a projective submodule of Lie(n) in prime char-acteristic p for n not a p-power, and show that the ratio of its dimension to that of Lie(n) approaches 1 as n tends to infinity.
Twisted Dickson-Mui invariants and the Steinberg module multiplicity
Twisted Dickson-Mui invariants Steinberg module multiplicity
2010/11/29
We determine the invariants, with arbitrary determinant twists, of the par-abolic subgroups of the finite general linear group GLn(q) acting on the tensor product of the symmetric algebra S•(V )...
An Example of an Indecomposable Module Without Non-Zero Hollow Factor Modules
Hollow modules Indecomposable modules Lifting modules coalgebras
2010/2/26
A module M is called hollow-lifting if every submodule N of M such that M/N is hollow contains a direct summand D \subseteq N such that N/D is a small submodule of M/D. A module M is called lifting if...
The exterior algebra and `Spin' of an orthogonal g-module
exterior algebra Spin' an orthogonal g-module
2010/11/1
A well-known result of Kostant gives a description of the G-module structure for the exterior algebra of Lie algebra $\frak g$. We give a generalization of this result for the isotropy representation...