Normal domains with monomial presentations
Abstract
Let A be a finitely generated commutative algebra over a field K with a presentation A=K < X1, ..., Xn | R >, where R is a set of monomial relations in the generators X1, ..., Xn. So A = K[S], the semigroup algebra of the monoid S=< X1, ..., Xn | R >. We characterize, purely in terms of the defining relations, when A is an integrally closed domain, provided R contains at most two relations. Also the class group of such algebras A is calculated.
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