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 $R$.
@article{119416,
author = {Pavel P\v r\'\i hoda},
title = {Bases of minimal elements of some partially ordered free abelian groups},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {44},
year = {2003},
pages = {623-628},
zbl = {1101.16010},
mrnumber = {2062878},
language = {en},
url = {http://dml.mathdoc.fr/item/119416}
}
Příhoda, Pavel. Bases of minimal elements of some partially ordered free abelian groups. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) pp. 623-628. http://gdmltest.u-ga.fr/item/119416/
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