Abstract

let $r$ be a commutative ring with identity and $m$ be a finitely generated unital $r$-module. in this paper, first we give necessary and sufficient conditions that a finitely generated module to be a multiplication module. moreover, we investigate some conditions which imply that the module $m$ is the direct sum of some cyclic modules and free modules. then some properties of fitting ideals of...

Choline-binding modules (CBMs) have a ββ-solenoid structure composed of choline-binding repeats (CBR), which consist of a β-hairpin followed by a short linker. To find minimal peptides that are able to maintain the CBR native structure and to evaluate their remaining choline-binding ability, we have analysed the third β-hairpin of the CBM from the pneumococcal LytA autolysin. Circular dichroism...

We define and study the Kirillov– Reshetikhin modules for algebras of type G2. We compute the graded character of these modules and verify that they are in accordance with the conjectures in [7], [8]. These results give the first complete description of families of Kirillov–Reshetikhin modules whose isotypical components have multiplicity bigger than one. Introduction In [2] we defined and stud...

We describe Koszul type complexes associated with a linear map from any module to a free module, and vice versa with a linear map from a free module to an arbitrary module, generalizing the classical Koszul complexes. Given a short complex of finite free modules, we assemble these complexes to what we call Koszul bicomplexes. They are used in order to investigate the homology of the Koszul comp...

As CdTe PV modules reached commercialization, vocal opposition emerged based on concerns about potential emissions of cadmium from them. In this short article I discuss the pertinent technical issues and conclude that CdTe PV modules do not present any risks to health and the environment during their use, and recycling the modules at the end of their useful life completely resolves any environm...

This paper describes Forst's approach to university entrance examinations at NTCIR-11 QA-Lab Task. Our system consists of two types of modules: dedicated modules for each question format and common modules called by the dedicated modules as necessary. Our system uses Basic Element in order to more exactly grasp and reflect the import of questions. We also tackled short-essay questions in the se...

Let R be a commutative local k-algebra of Krull dimension one, where k is field. α automorphism R, and define S to the skew polynomial algebra R[θ;α]. We offer, under some additional assumptions on criterion for have injective hulls all simple S-modules locally Artinian - that is, satisfy property (⋄). It easy well known if finite order, then has this property, but in order get when infinite we...