报告专家:罗彦锋教授(兰州大学)
报告题目:The minimal non-finitely based involution monoids
腾讯会议ID:367809435
报告时间:2023年3月3日下午4:00
报告简介:
Since the 1970s, the smallest known non-finitely based involution semigroups are of order six. Recently, we have found the first example of a non-finitely based involution semigroup of order five--the involution monoid $(A_0^1, ^{*})$. It is natural to question what is the smallest order of non-finitely based involution monoids. In this talk, it is shown that all involution semigroups of order four or less and all involution monoids of order five except $(A_0^1, ^{*})$ are finitely based. Therefore, involution monoid $(A_0^1, ^{*})$ is the only minimal non-finitely based involution monoids.
专家个人简介:
罗彦锋,兰州大学数学与统计学院教授、博士生导师。多年来一直从事半群代数理论、代数图论及量子仿射代数的研究工作,发表学术论文近100篇,解决了相关领域的几个公开问题。2002年受教育部“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访问;编著出版《线性代数》国家级规划教材1部;获甘肃省“高等学校教学名师奖”,享受国务院政府特殊津贴;担任教育部数学类专业教学指导委员会委员、甘肃省数学会副理事长;获甘肃省自然科学二等奖和科技进步三等奖各1项。