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学术报告9: P. Patricio 教授系列报告

鸿博体育(集团)有限公司:2023-02-13 作者: 点击数:

Pedro Patricio 教授

工作单位University of Minho

举办单位:鸿博体育(集团)有限公司

报告人简介:Prof. Pedro Patricio received his PhD degree in Mathematics from University of Minho, Portugal in 2002. He is currently a Professor in Department of Mathematics and Applications, University of Minho. He is the Director of the CMAT-center of Mathematics, University of Minho. His research interests include generalized inverses and partial orders in rings.  He published more than 40 peer reviewed papers in leading journals including Linear Algebra Appl., Linear Multilinear Algebra, Electron. J. Linear Algebra, and J. Aust. Math. Soc. etc.


报告: The Moore-Penrose inverse of von Neumann regular matrices 1

报告鸿博体育(集团)有限公司2023214日14:00-15:30

报告地点腾讯会议:660-560-244

报告简介In this talk, I will present necessary and sufficient conditions for a von Neumann regular matrix A over an arbitrary ring, and also the matrices arising in certain factorizations of A be Moore-Penrose invertible.


报告: The Moore-Penrose inverse of von Neumann regular matrices 2

报告鸿博体育(集团)有限公司2023215日14:00-15:30

报告地点腾讯会议:872-777-894

报告简介In this talk, I will present necessary and sufficient conditions for a von Neumann regular matrix A over an arbitrary ring, and also the matrices arising in certain factorizations of A be Moore-Penrose invertible.


报告: The Moore-Penrose inverse of a factorization

报告鸿博体育(集团)有限公司2023216

报告地点腾讯会议:207-581-733

报告简介We will present necessary and sufficient conditions for the product of matrices PAQ to be Moore-Penrose invertible, where A is von Neumann regular and there exist P and Q such that PPA=A=AQQ. Finally, an application is given to matrices over separative regular rings.


报告: The inverse along an element (1)

报告鸿博体育(集团)有限公司2023218日14:00-15:30

报告地点腾讯会议:110-111-122

报告简介We give several criteria for the inverse along an element in rings


报告: The inverse along an element (2)

报告鸿博体育(集团)有限公司2023219日14:00-15:30

报告地点腾讯会议:841-842-530

报告简介We give several criteria for the inverse along an element in rings


报告: Some additive results on MP inverses

报告鸿博体育(集团)有限公司2023220日14:00-15:30

报告地点腾讯会议:333-618-168

报告简介In this talk, I will present some additive results on MP inverse of a sum of MP invertible elements. Some converse results are also presented.


报告: On the Drazin index of regular elements

报告鸿博体育(集团)有限公司2023221日14:00-15:30

报告地点腾讯会议:274-105-982

报告简介It is known that the existence of the group inverse a# of a ring element a is equivalent to the invertibility of a2a-+1-aa-, independently of the choice of the von Neumann inverse a- of a. We then relate the Drazin index of a to the Drazin index of a2a-+1-aa-. We also give an alternative characterization when considering matrices over an algebraically closed field.


报告: Moore-Penrose invertibility in involutory rings.

报告鸿博体育(集团)有限公司2023222日14:00-15:30

报告地点腾讯会议:317-693-557

报告简介 Given two von Neumann regular elements a, b in a general ring with an arbitrary involution, we shall present necessary and sufficient conditions to maa=nbb.  


报告: The link between regularity and strong-pi-regularity

报告鸿博体育(集团)有限公司2023224日14:00-15:30

报告地点腾讯会议:754-313-106

报告简介I will show that if all powers of a ring element a are regular, then a is strongly pi-regular exactly when a suitable word in the powers of a and their inner inverses is a unit.


报告: The (2,2,0) group inverse problem

报告鸿博体育(集团)有限公司2023226日14:00-15:30

报告地点腾讯会议:898-106-899

报告简介In this talk, I will discuss the additive group problem and the existence of the group inverse of a two by two matrix.


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