Normal domains with monomial presentations

Details Normal domains with monomial presentations Normal domains with monomial presentations

2007-11-05

arxiv.org/abs/0711.0596v2

Mathematics

Rings and Algebras

17 pages, 0 figures, to appear in International Journal of Algebra and Computation

Scientific paper

Let A be a finitely generated commutative algebra over a field K with a presentation A=K < X_{1}, ..., X_{n} | R >, where R is a set of monomial relations in the generators X_{1}, ..., X_{n}. So A = K[S], the semigroup algebra of the monoid S=< X_{1}, ..., X_{n} | 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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