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.

We introduce the notions of T-dual Rickart and strongly T-dual Rickart modules. We provide several characterizations and investigate properties of each of these concepts. It is shown that every free (resp. finitely generated free) $R$-module is T-dual Rickart if and only if $overline{Z}^2(R)$ is a  direct summand of $R$ and End$(overline{Z}^2(R))$ is a semisimple (resp. regular) ring. It is sho...

Let $A_1$, $A_2$ be unital Banach algebras and $X$ be an $A_1$-$A_2$- module. Applying the concept of module maps, (inner) modulegeneralized derivations and  generalized first cohomology groups, wepresent several results concerning the relations between modulegeneralized derivations from $A_i$ into the dual space $A^*_i$ (for$i=1,2$) and such derivations  from  the triangular Banach algebraof t...

In this study, the three-dimensional (3D) asymmetric maximum weight lifting is predicted using an inverse-dynamics-based optimization method considering dynamic joint torque limits. The limits are functions of angles and angular velocities, imposed on hip, knee, ankle, wrist, elbow, shoulder, lumbar spine joints. 3D model has 40 degrees freedom (DOFs) including 34 physical revolute joints 6 glo...

We show that for the Kauffman bracket skein module over the field of rational functions in variable A, the module of a connected sum of 3-manifolds is the tensor product of modules of the individual manifolds.

This study evaluates the energy efficiency of pressure shock damping in a hydraulic lifting and leveling (HLL) module mobile robotic bricklaying system (RBS). The HLL includes servohydraulic actuator (SHA) damper (HSD). proposed adjustable HSD consists accumulator circuit (HAC) proportional valve. frequency characteristics impedance indices were used to evaluate effectiveness damping. dynamic r...

Abstract : In this paper, we propose an architecture that performs both forward and inverse lifting−based discrete wavelet transform. Our architecture reduces the hardware requirement by exploiting the redundancy in the arithmetic operation involved in DWT computation. The proposed architecture does not require any extra memory to store intermediate results. The proposed architecture consists o...