1. Normal domains with monomial presentations
- Author
-
Goffa, Isabel, Jespers, Eric, and Okninski, Jan
- Subjects
Mathematics - Rings and Algebras ,Mathematics - Commutative Algebra ,16S36, 13B22 - Abstract
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., Comment: 17 pages, 0 figures, to appear in International Journal of Algebra and Computation
- Published
- 2007