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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...
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...
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...
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...
In this paper, we extend some problems from Arens regularity and module Arens regularity of Banach algebras to module actions.
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 lele joué par la...
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...
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...
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...
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.
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...
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.

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