本项目融合"半群代数理论"与"变换半群理论"的相关前沿，形成自己的研究课题：①完善对常见的变换半群的子半群的结构与分类的研究，尝试归纳出一套有效方法来系统地研究有限半群的子半群的结构与分类，丰富有限半群及有限变换半群的结构理论。②将半群理论中的相关概念引入到变换半群，利用半群理论的手法和结果，对有限变换半群的相关内容进行研究，对变换半群理论的研究作新的有益的尝试。③构造一些新的变换半群，如压缩全(部分)变换半群、压缩部分一一变换半群、定点（源）压缩全(部分)变换半群,A型－保序（部分）变换半群，A型－保降序变换半群，通过对新的半群的研究来发现新的半群方法和技巧， 从而来完善变换半群的理论。

In the project, by integration semigroup theory with transformation semigroups theory, we have established our own research topics: ① by improving the study on the structure and classification of subsemigroups of common transformation semigroups, we try to generalize an effective method to study the structure and classification of subsemigroup of finite semigroups and enrich the structure theory of finite semigroups and transformation semigroups. ②introduce related concepts of semigroups theory to transformation semigroups, using the techniques and results of semigroup theory, and research related contents of finite transformation semigroups for a new useful attempt of research on transformation semigroup theory. ③construct some new transformation semigroups, for example, the compressed full(partial) transformation semigroups,the compression partial one-to-one transformation semigroups， the fixed point (source) compression full (partial) transformation semigroups, A-type order-preserving (part) transformation semigroup and A-type deceasing-preserving transformation semigroup.By studying the new semigroups ,we hope to discover new methods and techniques of semigroup and leads to improve the theory of transformation semigroup.