Let R be a ring and M a right R-module. It is shown that: (1) M is Artinian if and only if M is a GAS-module and satisfies DCC on generalized supplement submodules and on small submodules; (2) if M satisfies ACC on small submodules, then M is a lifting module if and only if M is a GASmodule and every generalized supplement submodule is a direct summand of M if and only if M satisfies (P ∗); (3)...

Structural and technological solutions for the installation blocks of a covering their improvement using loadlifting removal module are considered.

At algorithmic level, the so called lifting scheme represents the fastest implementation of the Discrete Wavelet Transform (DWT). In this paper, we investigate a novel microarchitectural extension for the DWT based on the lifting scheme. A new fast lifting DWT (FLWT) instruction is introduced as an ISA Extension of a MIPS architecture. Simulations have been carried out by a cycle accurate simul...

In this paper we propose a technique for software-implementation of an lifting with the goal of getting a customizable lifting DWT-core which can be used as a module in implementing a bigger system irrespective of ones choice of implementation platform. Here we have written the core processor Microblaze is designed in VHDL (VHSIC hardware description language), implemented using XILINX ISE 8.1 ...

In this paper, we show that every element of a discrete module is a sum of two units if and only if its endomorphism ring has no factor ring isomorphic to $Z_{2}$. We also characterize unit sum number equal to two for the endomorphism ring of quasi-discrete modules with finite exchange property.

In this article we present a new class of modules which is named as principally -lifting modules. This termed by Principally in work defined as, module called if for every cyclic submodule with , there decomposition such that and g-small . Thus, ring it -module. We determined structure. Several characterizations, properties, instances are described these modules'.

A general framework of hydraulic fault diagnosis system was studied. It consisted of equipment knowledge bases, real-time databases, fusion reasoning module, knowledge acquisition module and so on. A tree-structure model of fault knowledge was established. Fault nodes knowledge was encapsulated by object-oriented technique. Complete knowledge bases were made including fault bases and diagnosis ...

Let B=A?X|dX=t? be an extended DG algebra by the adjunction of a variable positive even degree n, and let N semi-free B-module that is assumed to bounded below as graded module. We prove in this paper liftable A if ExtBn+1(N,N)=0. Furthermore such lifting unique up isomorphisms ExtBn(N,N)=0.