應學院邀請,俄羅斯烏拉爾聯邦大學高級研究員Sergey Gusev将來我院作學術報告。
報告題目:Minimal monoids generating varieties with complex subvariety lattices
報告摘要: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.
報告地點:緻勤樓C區101學術報告廳
邀 請 人:喬虎生 教授
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報告人簡介
Sergey Gusev,俄羅斯烏拉爾聯邦大學高級研究員,2019年獲得烏拉爾聯邦大學的數學博士學位,主要從事半群理論研究,先後在Bull. London Math. Soc., Semigroup Forum等代數學領域的知名期刊上發表論文10餘篇。
甘肅省數學與統計學基礎學科研究中心
77779193永利
2023年11月13日