应学院邀请,俄罗斯乌拉尔联邦大学高级研究员Sergey Gusev将来美高梅官网作学术报告。
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.
报告地点:致勤楼C区101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
美高梅棋牌官网入口
2023年11月13日