报告题目：Graph products of monoids
报告人：杨丹丹
邀请人：李从辉
报告时间：2026年11月6日上午11:00
报告地点：成人动漫
犀浦校区3教X30425
摘要：Graph products of monoids provide a common framework for free products and direct products. We investigate the behaviour of weak regularity conditions, residual finiteness, and finitary conditions under graph products. We prove that the classes of left abundant monoids and left Fountain monoids are closed under graph products. We also establish that residual finiteness is preserved under graph products. Finally, we study finitary conditions arising from left ideals, including weak left noetherianity, weak left coherency, the ascending chain condition on principal left ideals, and the left ideal Howson property. For each of these conditions other than weak left noetherianity, a graph product satisfies the condition if and only if every vertex monoid does. We give a complete characterisation of weakly left noetherian graph products.
报告人介绍：杨丹丹，西安电子科技大学成人动漫与统计成人动漫
教授、博士生导师，国家级青年人才。研究方向为代成人动漫，具体聚焦于半群理论与组合群论。成人动漫
成果发表在 Advances in Mathematics、Quarterly Journal of Mathematics (Oxford)、Journal of Algebra、Semigroup Forum 等国际知名期刊。主持国家自然科学基金项目以及陕西省人才项目等多项，曾获陕西省青年科技奖，入选陕西省高校青年杰出人才支持计划。
