有限生成的自由阿贝尔幺半群的整体决定性

摘要

研究了有限生成的自由阿贝尔幺半群。证明了有限生成的自由阿贝尔幺半群同构于自然数集关于通常的数的加法所构成的幺半群的直和。表明了有限生成的自由阿贝尔幺半群类是整体决定的。%The finitely generated free abelian monoid is presented .It is proved that the finitely generated free abe-lian monoid is isomorphic to a direct sum of copies of the additive monoid of the set of natural numbers .By using this results ,it shows that the class of finitely generated free abelian monoids is globally determined .