Normal domains with monomial presentations Vrije Universiteit Brussel
Let $A$ be a finitely generated commutative algebra
over a field $K$ with a presentation $A= K\langle
X_{1},\ldots ,X_{n} \mid R\rangle$, where $R$ is a
set of monomial relations in the generators
$X_{1},\ldots , X_{n}$. So $A=K[S]$, the semigroup
algebra of the monoid $S=\langle X_{1},\ldots ,X_{n}
\mid R\rangle$. We characterize, purely in terms of
the defining relations, when $A$ is an integrally
...
over a field $K$ with a presentation $A= K\langle
X_{1},\ldots ,X_{n} \mid R\rangle$, where $R$ is a
set of monomial relations in the generators
$X_{1},\ldots , X_{n}$. So $A=K[S]$, the semigroup
algebra of the monoid $S=\langle X_{1},\ldots ,X_{n}
\mid R\rangle$. We characterize, purely in terms of
the defining relations, when $A$ is an integrally
...