The trivially twisted extension algebra (esp. the dual extension algebra) was introduced by Xi Changchang. Deng Bangmeng , XiChangchang and Du Xia~nneng ect.
平凡扭扩张代数(特别地，对偶扩张代数)是由惠昌常引进的，邓邦明、惠昌常、杜先能等对这类代数作了系统的研究。
参考来源 - 几类lean拟遗传代数的构造性刻划·2,447,543篇论文数据，部分数据来源于NoteExpress
本文对对偶扩张代数的性质作了有意义的研究。
In this paper, some useful properties of dual extension algebras are considered.
半群平移壳理论是半群代数理论的一个重要部分，在半群的理想扩张理论中占有重要地位。
The theory of translational hull of semigroups is an important branch of the algebra theory and plays a basic role in the theory of ideal extensions of semigroups.
对具有泛包络代数结构的量子力学控制系统，研究了泛包络代数的可扩张性和系统状态的定义域问题。
For quantum mechanical control systems with structures of universal enveloping algebras, the thesis studies the enlargability of the universal enveloping algebras and the domain problems.
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