On the Ideal Theory of Graphs

We study algebras defined by finite sets G = {M1, ..., Mq} of monomials of a polynomial ring R. There are two basic algebras: (i) k[G] = k[M1, ..., Mq], the k-subalgebra of R spanned by the Mi, and (ii) the quotient ring R/I(G), where I(G) = (M1, ..., Mq). They come together in the construction of t... View More