报告人：Dijana Mosic教授

工作单位：University of Nis

举办单位：数学学院

报告人简介：Dijana Mosić，Professor of University of Nis，She has published more than 165 scientific papers in mathematics. These papers are cited more than 800 times. She is the author of one book of problems, coauthor of one book of problems and author of one monograph on generalized inverses. She is an excellent mathematican. She won the Award “For women in Science”, LOREAL-UNESCO in 2012, and Award for achievements in Mathematical Sciences, Mathematical Society of Serbia, 2018.

（1）

报告时间：2023年10月13日（星期五）15:30-16:30

报告地点：腾讯会议：227-694-004

报告简介：We introduce new classes of generalized Drazin inverses in a ring, which are called the generalized n-strong Drazin inverse and pseudo n-strong Drazin inverse for arbitraryn∈N. Some basic properties of these inverses are studied. We prove extensions of Cline's formula for these inverses and Jacobson's lemma for generalized and pseudo strong Drazin inverse. In a Banach algebra, we define and characterize the weighted generalized strong Drazin inverse and weighted pseudo strong Drazin inverse.

（2）

报告时间：2023年10月18日（星期三）15:30-16:30

报告地点：腾讯会议：910-577-773

报告简介：Various compositions of the Drazin inverse, the group inverse or the core-EP inverse with the Moore-Penrose inverse have investigated last years. Solving some type of matrix equations, we introduce three new generalized inverses of a rectangular matrix, which are called the OMP, MPO and MPOMP inverses, because the outer inverse and the Moore-Penrose inverse are incorporated in their definition. As a consequence, the notion of DMP, MPD, CMP and MPCEP inverses for a square matrix are covered by one general definition and extended to a rectangular matrix.