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中文摘要：
给出了反软子半群的定义,并讨论了它的等价刻画,其次,获得了两个反软子半群的限制并和或也是反软子半群。另外,基于扩张原理和反扩张原理得到了他们同态像、反像和原像的相关性质。最后,在反软子半群的基础上定义了K-反软子半群,并对它的基本性质进行了讨论。
英文摘要：
In this paper, the definition of anti-soft subsemigroups is given, and the equivalentcharacterizations is discussed. Then, we obtained that the restricted union and OR of their image, antiimage and inverse image have been given based on the extension principle and anti extension principle. Finally, we put forward the definition of K-anti-soft subsemigroups based on anti-soft subsemegroups, and several basic properties are investigated.
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