This is the first paper in a series to study vertex algebra-like objects arising from infinite-dimensional quantum groups (quantum affine algebras and Yangians). In this paper we lay a foundation for this study. We formulate and study notions of quasi module and S-quasi module for a G1-vertex algebra V , where S is a quantum Yang-Baxter operator on V . We also formulate and study a notion of qu...

Let g(G,λ) denote the deformed generalized Heisenberg-Virasoro algebra related to a complex parameter λ≠−1 and an additive subgroup G of C. For total order on that is compatible with addition, Verma module over defined. In this paper, we completely determine irreducibility these modules.

The concepts of free modules, projective modules, injective modules and the likeform an important area in module theory. The notion of free fuzzy modules was introducedby Muganda as an extension of free modules in the fuzzy context. Zahedi and Ameriintroduced the concept of projective and injective L-modules. In this paper we give analternate definition for projective L-modules. We prove that e...

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...

In the paper we describe a new version of the software tool developed for education and experimental works in speech processing domain. Since 1997, when the original VISPER was released, we have added several new modules and options that give a student a deeper look at the basic principles, methods and algorithms used namely in speech recognition. Newly included modules allow for visualization ...

Against a background of recent progress in developmental neuroscience, some of which has been taken as challenging to the modularity hypothesis of Fodor (1983), this article contrasts two competing conceptions of modularity: sui generis modularity, according to which modules are treated as independent neurocognitive entities that owe nothing to one another, and descent-with-modiWcation modulari...

Against a background of recent progress in developmental neuroscience, some of which has been taken as challenging to the modularity hypothesis of , this article contrasts two competing conceptions of modularity: sui generis modularity, according to which modules are treated as independent neurocognitive entities that owe nothing to one another, and descent-with-modification modularity, accordi...

This paper considers Weyl modules for a simple, simply connected algebraic group over an algebraically closed field k of positive characteristic p 6= 2. The main result proves, if p ≥ 2h− 2 (where h is the Coxeter number) and if the Lusztig character formula holds for all (irreducible modules with) regular restricted highest weights, then any Weyl module ∆(λ) has a ∆-filtration, namely, a filtr...

Before using a service in a composite framework, designers must ensure that it is compatible with the needs of the application. The inputs and outputs must comply with the intended ranges of data in the composite framework, and the service must eventually return a value. This paper addresses compatibility for modules described with document-based workflow nets, that can depict the semantics of ...

Diagnostic Microfluidics In article 2300357, Yanyan Jiang and co-workers overview the types of microfluidic, microchannel physical design, well-compatible analysis modules for exosomes detection. It focuses on methods with clinical application potential, intending to provide an introduction microfluidic in disease diagnosis. Key challenges future directions field are also discussed.