Characterizations for the Core Invertibility and EP-ness Involving Projections

IF 0.4 4区数学 Q4 MATHEMATICS

Algebra Colloquium Pub Date : 2022-07-26 DOI:10.1142/s1005386722000293

Honglin Zou, D. Cvetković-Ilić, Jianlong Chen, Kezheng Zuo

引用次数: 1

Abstract

In this paper we obtain some equivalent conditions for the core invertibility and EP-ness of [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text], where [Formula: see text], [Formula: see text] are projections in different settings, such as ∗-rings, ∗-reducing rings and [Formula: see text]-algebras. Moreover, several representations for the core inverses of product, difference and sum of two generalized projections are derived. In particular, a number of examples are given to illustrate our results.

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涉及投影的核心可逆性和EP-ness的特征

本文得到了[公式:见文]、[公式:见文]、[公式:见文]、[公式:见文]和[公式:见文]的核心可逆性和ep -性的一些等价条件，其中[公式:见文]、[公式:见文]是不同环境下的投影，如:∗环、∗约化环和[公式:见文]-代数。此外，导出了两种广义投影的乘积、差和的核心逆的几种表示。特别地，给出了一些例子来说明我们的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.