报告人：Xavier Mary 教授

工作单位：法国巴黎第十大学

举办单位：腾讯nba买球

报告人简介：Xavier Mary, 2006年博士毕业于巴黎大学。目前为法国巴黎第十大学教授，主要研究领域包括：半群理论、环论、代数等。X. Mary教授在国际代数领域享有很高的知名度，于2011年引入了“The inverse along an element”,现称之为Mary逆，被广泛的研究。目前国际上以Mary逆命名此逆。目前，X. Mary教授已在Linear Algebra Appl., Linear Multilinear Algebra, Appl. Math. Comput., Comm. Algebra J. Algebra Appl.等杂志上发表了30篇学术论文。并且，X. Mary教授主持过欧洲地平线2020项目。

报告一：A note on the inverse along an element

报告时间：2023年4月14日（星期五）15:00-16:00

报告地点：腾讯会议：346-197-347

报告简介：We study generalized inverses on semigroups by means of Green’s relations. We first define the notion of inverse along an element and study its properties. Then we show that the classical generalized inverses (group inverse, Drazin inverse and Moore–Penrose inverse) belong to this class

报告二：The inverse along an element

报告时间：2023年4月17日（星期一）15:00-16:00

报告地点：腾讯会议：248-530-283

报告简介：The definition of the inverse along an element was very recently introduced, and it contains known generalized inverses such as the group, Drazin and Moore–Penrose inverses.

报告三：Generalized inverse modulo H

报告时间：2023年4月19日（星期三）15:00-16:00

报告地点：腾讯会议：554-438-348

报告简介：We first prove a simple existence criterion for this inverse in a semigroup, and then relate the existence of such an inverse in a ring to the ring units.

报告四：Reverse order law for the group inverse

报告时间：2023年4月21日（星期五）15:00-16:00

报告地点：腾讯会议：554-438-348

报告简介：We provide equivalent conditions for the two-sided reverse order law for the group inverse in semigroups and rings.

报告五：Weak inverse of product

报告时间：2023年4月22日（星期六）15:00-16:00

报告地点：腾讯会议：554-438-348

报告简介：We study extensions of Cline’s formula and Jacobson lemma for one-sided, commuting and bicommuting weak inverses, in semigroups and general rings. In particular, we provide various isomorphisms between the (one-sided, commuting and bicommuting) weak inverses ofaband those ofba.