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Let A be a K-subalgebra of the polynomial ring S=K[x1,ï¿½?ï¿½,xd] of dimension d, generated by finitely many monomials of degree r. Then the Gauss algebra $\GG(A)$ of A is generated by monomials of degree (rï¿½??1)d in S. We describe the generators and the structure of $\GG(A)$, when A is a Borel fixed algebra, a squarefree Veronese algebra, generated in degree 2, or the edge ring of a bipartite graph with at least one loop. For a bipartite graph G with one loop, the embedding dimension of $\GG(A)$ is bounded by the complexity of the graph G.
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