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In this article, we will explore a recent method of Alweiss \cite{key-1}using ultrafilter technique to study monochromatic partition regular structureof the form $\left\{ x,y,x+y,x\cdot y\right\} $ over rationals, which isrecently proved by Bowen, and Sabok in \cite{key-17}. Our methods explore thateach member of combinatorially rich ultrafilters contains these types ofconfigurations. Besides this, we will also prove that for any $n\in\mathbb{N},$these sets will contain configuration of the form $\left\{ x,y,x+y,x\cdoty^{n}\right\}$, partially proved by Xiao in \cite{key-25}.

Some remarks on Alweiss's technique and monochromatic configuration of the form $\left\{ x,y,x+y,x\cdot y\right\} $ over Rationals