报告题目：Minimal non-finitely based involution semigroups

报 告 人：罗彦锋教授 兰州大学

报告时间：2024年12月17日（星期二）9: 00-10: 00

腾讯会议：952-188-353，https://meeting.tencent.com/dm/Dy989SCrbwMF

主 持 人：乔守红

报告摘要：Since the 1970s, the known non-finitely based involution semigroups of smallest order are of order six. In 2020, we found the first non-finitely based involution semigroup $(A^{1}_{0},*)$ of order five. It is natural to ask what is the smallest order of non-finitely based involution semigroups. In this talk, we show that, except $(A^{1}_{0},*)$, all involution semigroups of order up to five are finitely based. Therefore, the smallest order of non-finitely based involution semigroups is five, and $(A^{1}_{0},*)$is the unique minimal non-finitely based involution semigroups.

报告人简介：罗彦锋，兰州大学萃英学者二级岗教授、博士生导师，享受国务院政府特殊津贴。多年来一直从事半群代数理论、代数图论、丛代数与量子仿射代数等方面的研究工作，发表学术论文100余篇，主持完成国家自然科学基金项目及省部级科研项目多项。受教育部“重点高校系主任/研究所骨干出国研修计划项目”资助到加拿大西蒙弗雷泽大学研修访问；编著出版《线性代数》国家级规划教材1部；获宝钢优秀教师奖、甘肃省“高等学校教学名师奖”；获甘肃省自然科学二等奖、科技进步三等奖及甘肃省教学成果特等奖各1项；曾任甘肃省数学会副理事长、教育部数学类专业教学指导委员会委员等。