# Article

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Keywords:
full affine semigroups; partially ordered abelian groups; semilocal rings; direct sum decompositions
Summary:
In the present paper, we will show that the set of minimal elements of a full affine semigroup $A\hookrightarrow \Bbb N^k_0$ contains a free basis of the group generated by $A$ in $\Bbb Z^k$. This will be applied to the study of the group $\text{\rm K}_0(R)$ for a semilocal ring $R$.
References:
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