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

报告简介：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.

报告人：Dragana S. Cvetković-Ilić

Department of Mathematics, Faculty of Science and Mathematics, University of Nis

报告人简介： Dragana S. Cvetković-Ilić 塞尔维亚Niš大学教授，主要从事广义逆理论及其应用方面的研究，在Linear Algebra Appl.，Proc. Amer. Math. Soc.，Linear & Multilinear Algebra，J. Austra. Math. Soc.，Acta Math. Sci.，Appl. Math. Comp.，J. Operator Theory等SCI杂志上发表学术论文80多篇，先后获塞尔维亚数学会颁发的数学科学成就奖、塞尔维亚最具影响力的40岁以下数学家国家奖、塞尔维亚“科学界的妇女”，现为国际线性代数学会高级会员，SCI杂志Filomat，Journal of Computational and Applied Mathematics，Annals of Functional Analysis的编委和杂志Facta Universitatis的主编。

报告时间：2021年5月7日（星期五）下午15:00

腾讯会议ID：119 880 364

主办单位：扬州大学数学科学学院

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