We introduce and study the set of radical semistar operations an integral domain D. show that their is a complete lattice join-completion spectral operations, we characterize when every operation (under hypothesis D rad-colon coherent). When Prüfer such minimal prime ideals scattered, completely classify stable operations.

Local automobile garage workers carry out daily workshop operations, which sometimes lead to accidents and injuries. Therefore, this study was carried out to establish a relationship between automobile workshop operations causing accidents and safety practices among local garage workers in Ghana. Three main data collection approaches were used in the study namely focus group discussions (10 FGD...

The geometric-arithmetic index is another topological index was defined as 2 deg ( )deg ( ) ( ) deg ( ) deg ( ) G G uv E G G u v GA G u v     , in which degree of vertex u denoted by degG (u). We now define a new version of GA index as 4 ( ) 2 ε ( )ε ( ) ( ) ε ( ) ε ( ) G G e uv E G G G u v GA G   u v    , where εG(u) is the eccentricity of vertex u. In this paper we compute this new t...

Let $G*H$ be the product $*$ of $G$ and $H$. In this paper we determine the rth power of the graph $G*H$ in terms of $G^r, H^r$ and $G^r*H^r$, when $*$ is the join, Cartesian, symmetric difference, disjunctive, composition, skew and corona product. Then we solve the equation $(G*H)^r=G^r*H^r$. We also compute the Wiener index and Wiener polarity index of the skew product.

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