Affine monoids are the basic structure on which algebras with coefficients in rings will be built later on. Their finiteness properties allow a rich structure theory, both from the combinatorial and the ring theoretic point of view to be pursued in later chapters. An affine monoid defines a cone in a natural way, and therefore the notions of polyhedral convex geometry will be omnipresent in this chapter.
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© 2009 Springer-Verlag New York
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Bruns, W., Gubeladze, J. (2009). Affine monoids and their Hilbert bases. In: Polytopes, Rings, and K-Theory. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/b105283_2
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DOI: https://doi.org/10.1007/b105283_2
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