A finite semigroup is an IC abundant semigroup satisfying the left rgularity condition if and only if it is an orthodox superabundant semigroup whose idempotents form a left regular band.
一个有限半群是满足左正则性条件的IC富足半群当且仅当它是一个幂等元形成左正则带的纯整超富足半群，但满足左正则性条件的无限IC富足半群不都是幂等元形成左正则带的纯整超富足半群。
This paper has made some discussions on the finite commutative semigroup. The relationship between the finite commutative semigroup and the finite commutative group is established.
对有限可换半群进行了讨论，建立了有限可换半群与有限可换群之间的关系。
In this paper, the probability measure defined on the compact finite commutative semigroup and us composition convergence is discussed.
文中研究定义在紧有限交换半群上的概率测度，同时研究它们的合成收敛序列的性质。
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