in this paper, we state some results on product of operators with closed rangesand we solve the operator equation txs*- sx*t*= a in the general setting of theadjointable operators between hilbert c*-modules, when ts = 1. furthermore, by usingsome block operator matrix techniques, we nd explicit solution of the operator equationtxs*- sx*t*= a.

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

1. Table of symbols 2 2. Transcendence for Drinfeld modules 2 2.1. Wade’s results 2 2.2. Drinfeld modules 3 2.3. The Weierstraß-Drinfeld correspondence 3 2.4. Carlitz 5 2.5. Yu’s work 6 3. t-Modules 7 3.1. Definitions 7 3.2. Yu’s sub-t-module theorem 8 3.3. Yu’s version of Baker’s theorem 8 3.4. Proof of Baker-Yu 8 3.5. Quasi-periodic functions 9 3.6. Derivatives and linear independence 12 3.7....

If conditional rewrite-rules are restricted to the form P =⇒ f(x1, . . . , xn)→ t where P is a finite set of equations, f is any function symbol, x1, . . . , xn are variables, and t is any term then the premise P contains in general variables which do not occur in the list x1, . . . , xn. The rule with premise P can be applied if P is satisfiable. Therefore, we need methods to solve P and narro...

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...

We study advection–diffusion of a passive scalar, T , by an incompressible fluid in a closed vessel bounded by walls impermeable to the fluid. Variations in T are produced by prescribing a steady non-uniform distribution of T at the boundary. Because there is no flow through the walls, molecular diffusion, κ , is essential in ‘lifting’ T off the boundary and into the interior where the velocity...

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...

This study examined the effects of 3 lifting ranges and 3 lifting modes on maximum lifting capability and total lifting time. The results demonstrated that the maximum lifting capability for FK (from floor to knuckle height) was greater than that for KS (from knuckle height to shoulder height) or FS (from floor to shoulder height). Additionally, asymmetric lifting with initial trunk rotation de...

In this paper an Isogeometric Boundary Element Method for three-dimensional lifting flows based on Morino’s (Morino and Kuo, 1974) formulation is presented. Analysis-suitable T-splines are used the representation of all boundary surfaces unknown perturbation potential approximated by same T-spline basis geometry. A novel numerical application so-called Kutta condition introduced that utilises a...