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For a bound quiver $(Q, I)$ and an algebra $A$, where $Q$ is acyclic and $I$ is generated by monomial relations, let $\\Lambda=A\\otimes_k kQ/I$. For any additive subcategory $\\x$ of $A$-mod, we construct ${\\rm smon}(Q, I, \\x)$ combinatorially. 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For a bound quiver $(Q, I)$ and an algebra $A$, where $Q$ is acyclic and $I$ is generated by monomial relations, let $\\Lambda=A\\otimes_k kQ/I$. For any additive subcategory $\\x$ of $A$-mod, we construct ${\\rm smon}(Q, I, \\x)$ combinatorially. 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