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A Basis of the q-Schur Module
Basis q-Schur Module
2018/4/19
In this paper, we construct the q-Schur modules as left principle ideals of the cyclotomicq-Schur algebras, and prove that they are isomorphic to those cell modules defined in [3] and [10] at any lev...
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...
Exponential power series, Galois module structure and differential modules
Exponential power series Galois module structure Number Theory
2011/8/26
Abstract: We use new over-convergent p-adic exponential power series, inspired by work of Pulita, to build self-dual normal basis generators for the square root of the inverse different of certain abe...
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 p-support of a holonomic D-module is Lagrangian, for p large enough
p-support of a holonomic D-module Lagrangian large enough
2011/2/22
Cette thèse traite d’algèbre et de géométrie algébrique, plus précisément de théorie algébrique des D-modules, avec une forte présence de la caractéristique positive. On sait le rôle joué par la...
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...
Topological centers of $n-$th dual of module actions
Arens regularity bilinear mappings Topological center n-th dual
2011/2/21
In this paper, we will study the topological centers of n−th dual of Banach A−module and we extend some propositions from Lau and ¨Ulger into n−th dual of Banach A−modules wher...
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...
Good tilting modules and recollements of derived module categories
Commutative algebras Coproducts Derived categories p-adic numbers Recollements Ring epimorphisms Tilting
2011/1/20
Let T be an infinitely generated tilting module of projective dimension at most one over an arbitrary associative ring A, and let B be the endomorphism ring of T.
Algebraic equations on the adelic closure of a Drinfeld module
Algebraic equations adelic closure Drinfeld module
2011/1/19
Let k be a field of positive characteristic and K = k(V ) a function field of a variety V over k and let AK be a ring of ad´eles of K with respect to a cofinite set of the places on K correspond...
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...
Arens regularity of module actions and weak amenability of Banach algebras
Arens regularity weak amenability of Banach algebras
2010/11/9
For Banach left and right module actions, we will establish the relationships between topological centers of module actions with some result in the weak amenability of Banach algebras.
Normality of bounded and unbounded adjointable operators are discussed. Suppose $T$ is an adjointable operator between Hilbert C*-modules which has polar decomposition, then $T$ is normal if and only...
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.