云亭数学讲坛2023第58讲——Sergey Gusev高级研究员

文章来源:数学与统计学院发布日期:2023-11-13浏览次数:177

 应学院邀请,俄罗斯乌拉尔联邦大学高级研究员Sergey Gusev将来我院作学术报告。

报告题目:Minimal monoids generating varieties with complex subvariety lattices

报告摘要:In 2011, A variety is finitely universal if its lattice of subvarieties contains an isomorphic copy of every finite lattice. We show that the 6-element Brandt monoid generates a finitely universal variety of monoids and, by the previous results, it is the smallest generator for a monoid variety with this property. It is also deduced that the join of two Cross varieties of monoids can be finitely universal. In particular, we exhibit a finitely universal variety of monoids with uncountably many subvarieties which is the join of two Cross varieties of monoids whose lattices of subvarieties are the 6-element and the 7-element chains, respectively.

报告时间:2023111410:30

报告地点:致勤楼C101学术报告厅

邀 请 人:乔虎生 教授

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报告人简介

Sergey Gusev,俄罗斯乌拉尔联邦大学高级研究员,2019年获得乌拉尔联邦大学的数学博士学位,主要从事半群理论研究,先后在Bull. London Math. Soc., Semigroup Forum等代数学领域的知名期刊上发表论文10余篇。


甘肃省数学与统计学基础学科研究中心

 数学与统计学院

2023年11月13日