Title：Generalized inverses, matrix and operator equations VI: Improvements of some recent results on generalized inverses

Abstract：When improving results about generalized inverses, the aim is often to do this in the most general setting possible by eliminating superfluous assumptions and by simplifying some of the conditions in statements. In this lecture, we use Hartwig's

well-known triple reverse order law as an example for showing how this can be done

using a recent framework for algebraic proofs and the software package Operator GB. Improvements of Hartwig's result that we will consider are proven in rings with involution. We also discuss computer-assisted proofs that show these results in other settings based on the framework and a single computation with noncommutative polynomials.

Speaker：Dragana S. Cvetković-Ilić，Department of Mathematics, Faculty of Science and Mathematics, University of Nis, Serbia

Dragana S. Cvetković-Ilić is a full professor of University of Nis, Serbia. Her main research field is the theory of generalized inverse and its applications. She has published more than 80 papers in SCI journals such as Linear Algebra Appl.，Proc. Amer. Math. Soc.，Linear & Multilinear Algebra，J. Austra. Math. Soc.，Acta Math. Sci.，Appl. Math. Comp.，J. Operator Theory and so on. She is a member of the Board of Directors of ILAS(International Linear Algebra Society), (3/2020-), member of the Editorial Board for the following journals: Journal of Computational and Applied Mathematics, Annals of Functional Analysis, FILOMAT, and FACTA UNIVERSITATIS, Series Mathematics and Informatics (Editor in Chief). She is also awarded by “For women in Sciences”, Loreal-Unesco, Serbia, and Award for achievements in Mathematical Sciences, Mathematical Society of Serbia.

Date：3:00pm-4:30pm 2021-5-7（Friday）.

Venue:

Tencent Meeting ID：119 880 364

Organizer：School of Mathematical Sciences

Students and teachers who are interested  are welcome.