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In this paper, we derive all their results using a different method (AMT), as well as calculate the additive structure of $H\\!H_k\\!(A;\\!A)$ and $H\\!H^k\\!(A;\\!A)$ over $\\mathbb{Z}$. We provide concise presentations of algebras $H\\!H_\\ast\\!(A;\\!A)$ and $H\\!H^\\ast\\!(A;\\!A)$, as well as determine their generators in the Hochschild complex. 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