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|Paper IPM / M / 15510||
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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