Monoid

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A set, LaTeX: M, defined on rational vectors, such that: (1) LaTeX: 0 \in M, and (2) if LaTeX: v, LaTeX: w are in LaTeX: M, then LaTeX: v+w is in LaTeX: M. The monoid is integral if it contains only integer vectors. One can think of a monoid as a discrete analogue of a convex cone.


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