论文标题
关于有限交换的可计数分区次数的数量
On the number of countable subdirect powers of finite commutative semigroups
论文作者
论文摘要
在1981/82年，Hickin \＆Plotkin和McKenzie都证明了一个有限的群体仅在且仅当它是Abelian时，只有许多非异态副标题。在本文中，我们证明，当且仅当它是有限的Abelian群体或无效的半群时，只有有限的交换性半群中只有许多非晶状体可计数次级力量。
In 1981/82, Hickin \& Plotkin and McKenzie both proved that a finite group has only countably many non-isomorphic subdirect powers if and only if it is abelian. In this paper, we prove that a finite commutative semigroup has only countably many non-isomorphic countable subdirect powers if and only if it is either a finite abelian group or a null semigroup.
