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学术报告121: Dragan Rakic — core inverses in rings

时间:2022-11-11 作者: 点击数:

报告时间:20221115日(星期二)16:00-18:00

报告地点腾讯会议:238-375-058

Dragan Rakic 教授

工作单位University of Nis

举办单位学院

报告人简介:Dragan Rakic塞尔维亚尼什大学教授2015年博士毕业于尼什大学,主要研究方向为泛函分析算子理论广义逆及偏序理论。在专业杂志上等杂志上发表高质量论文20余篇并主持塞尔维亚科学基金项目2项、及塞尔维亚与思罗维尼亚双边项目1项

报告简介

       Let R be a ring with involution. The recently introduced notions of the core and dual core inverse are extended from matrix to an arbitrary -ring case. It is shown that the group, Moore–Penrose, core and dual core inverse are closely related and they can be treated in the same manner using appropriate idempotents. The several characterizations of these inverses are given. Some new properties are obtained and some known results are generalized. A number of characterizations of EP elements in Rare obtained. It is shown that core and dual core inverse belong to the class of inverses along an element and to the class of (b, c)-inverses.


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