Let TΩ be the transformation semigroup on a set Ω, and e an idempotent of Tωwith imaging X=im(e). If G is a subgroup of the symmetric group Sx, we shall give a method of extending G to be an orthodox subsemigroups of TΩ by the idempotente.%设t是集合Ω上的全变换半群TΩ的一个幂等元,X是e的像集,G是X上的对称群Sx的子群,本文给出一种方法,通过e把G扩张成TΩ的一个纯正子半群(orthodox).
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