the notions of quasi-prime submodules and developed  zariski topology was introduced by the present authors in cite{ah10}. in this paper we use these notions to define a scheme. for an $r$-module $m$, let $x:={qin qspec(m) mid (q:_r m)inspec(r)}$. it is proved that $(x, mathcal{o}_x)$ is a locally ringed space. we study the morphism of locally ringed spaces induced by $r$-homomorphism $mrightar...

This paper proposes a code reuse mechanism called module embedding that enables the building of new modules from existing ones through inheritance, overriding of procedures, and overriding of types; the paper also describes an implementation scheme for this mechanism. Module embedding is beneficial when modules and classes are used in combination and need to be extended together, or when module...

Hierarchical prosody structure generation is an important but challenging component for speech synthesis systems. In this paper, we investigate the use of enhanced embedding (joint learning of character and word embedding (CWE)) features and different model fusion approaches at both character and word level for Mandarin prosodic boundaries prediction. For CWE module, the internal structures of ...

We classify and explicitly construct the embedding diagrams of Verma modules over the N =2 supersymmetric extension of the Virasoro algebra. The essential ingredient of the solution consists in drawing the distinction between two different types of submodules appearing in N = 2 Verma modules. The problem is simplified by associating to every N=2 Verma module a relaxed Verma module over the affi...

An enhancement to modular languages called module embedding facilitates the development and utilization of secure generic parallel algorithms.

An enhancement to modular languages called module embedding facilitates the development and utilization of secure generic parallel algorithms.