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学术报告147:Dijana Mosic - The generalized and pseudo n-strong Drazin inverses in rings

时间:2022-12-16 作者: 点击数:

报告时间20221216日(星期五)20:30-22:30

报告地点腾讯会议:384-765-494

Dijana Mosic 教授

工作单位University of Nis

举办单位:数学学院

报告人简介:Dragan RakicProfessor of University of NisDijana Mosić 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.

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 arbitrary n∈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.


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