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...

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...

Dual topology for the function space topologies multifunctions are introduced and investigated. It is found that a T on CM(Y,Z) splitting (resp. admissible) if only its dual pair (T+,T?) admissible). Similarly, T(T+,T?)

background: workstation design has shift from using single monitor screen to dual monitor screens, which may impose some impacts towards the muscles activity. this study aimed to determine the effect of using dual monitor screen computer to the neck-shoulder muscle activity among computer user. method: this experimental study was conducted in 2015 among 28 healthy students in university malaysi...

We study here how to reduce a t-norm by subtracting a value (computed by a function). We obtain a general form of an operator that we call the reduced t-norm. We study this operator and some interesting generalization properties. We also investigate some interesting particular cases. We complete the study by analyzing the dual operator, which corresponds to augmenting a t-conorms.