拟平凡半群：特征和计数
Quasitrivial semigroups: characterizations and enumerations
摘要：
研究了拟平凡半群类，给出了拟平凡交换半群的子类以及拟平凡保序半群的子类的各种刻画。当半群定义在有限集上时，我们还明确地确定了这些类的大小。作为这些枚举的副产品，我们得到了几个新的整数序列。
英文摘要：
We investigate the class of quasitrivial semigroups and provide various characterizations of the subclass of quasitrivial and commutative semigroups as well as the subclass of quasitrivial and order-preserving semigroups. We also determine explicitly the sizes of these classes when the semigroups are defined on finite sets. As a byproduct of these enumerations, we obtain several new integer sequences.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
