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

报告人：Sergei Gusev讲师 俄罗斯乌拉尔联邦大学

邀请人：杨丹丹 教授

报告时间：2023年11月8日（周三）16：15-18：30（共3个学时）

报告地点： 南校区会议中心121会议室

报告人简介：

Sergei Gusev，俄罗斯乌拉尔联邦大学（Ural Federal University），讲师。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，先后在代数学领域的知名期刊发表学术论文10余篇。

报告摘要：

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.

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