Let $alpha$ be an endomorphism and $delta$ an $alpha$-derivationof a ring $R$.  In this paper we  study the relationship between an$R$-module $M_R$ and the  general polynomial module  $M[x]$ over theskew polynomial ring $R[x;alpha,delta]$. We introduce the notionsof skew-Armendariz modules and skew quasi-Armendariz modules whichare generalizations of $alpha$-Armendariz modules and extend thecla...

Let  be a local Cohen-Macaulay ring with infinite residue field,  an Cohen - Macaulay module and  an ideal of  Consider  and , respectively, the Rees Algebra and associated graded ring of , and denote by  the analytic spread of  Burch’s inequality says that  and equality holds if  is Cohen-Macaulay. Thus, in that case one can compute the depth of associated graded ring of  as  In this paper we ...

The ubiquitous garbage pollution in lakes, wetlands and rivers has become an urgent problem to be solved. With Arduino as the core, this paper completed function design, circuit design program design. control system of small water cleaning robot is designed, whole remote module divided into module, rocker wireless module. part uses Nano series microprocessor. On basis, signal transmitted receiv...

A prototype concentrating photovoltaic (CPV) module was designed and constructed with a low concentrating dielectric compound parabolic concentrator (DiACPC) for outdoor characterisation. The designed concentrator has acceptance half angles of 0 & 55 with a concentration ratio of 2.8. This concentrator design is suitable for building facade integration in higher latitude (>55 ) locations. A sma...

the purpose of this paper was to see whether any significant relationship exists among efl learners’ autonomy, left/right brain dominance, and reading comprehension of the academic reading and general reading modules of ielts examination. to this end, 100 female efl learners were randomly selected from those who were attending ielts preparatory courses at a language school in tehran. all partic...

This paper shows improvement in the efficiency of self checking circuit with the use of exhaustive fault injection with analysis of property of circuit is shown. Experimental results from fault injection on a Reed-Solomon Decoder demonstrated that by observing the occurred errors and the correspondent detection module has been possible to reduce the number of detection module, while paying a sm...

The Popescu-Gabriel theorem states that each Grothendieck abelian category is a localization of a module category. In this paper, we prove an analogue where Grothendieck abelian categories are replaced by triangulated categories which are well generated (in the sense of Neeman) and algebraic (in the sense of Keller). The role of module categories is played by derived categories of small differe...