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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