On a weighted core inverse in a ring with involution
On a weighted core inverse in a ring with involution
复制标题
DOI：
10.1080/00927872.2017.1378895
复制
发表时间：
2018-06
影响因子：
0.7
通讯作者：
D. Mosić;Chunyuan Deng;Haifeng Ma
中科院分区：
文献类型：
--
作者：
D. Mosić;Chunyuan Deng;Haifeng Ma
摘要我们定义并研究了环中的e-核逆和f-对偶核逆，对合环上的对合分别作为核和对偶核逆的推广。利用这些定义，我们给出并刻画了e-核偏序和f-对偶核偏序。我们刻画了一个Rickart∗-环在e-核和f-对偶偏序下低于给定元素的所有元素的集合。还给出了加权EP元的新刻画。
ABSTRACT We define and investigate the e-core inverse and f-dual core inverse in a ring with involution as extensions of the core and dual core inverse, respectively. Using these definitions, we present and characterize the e-core partial order and the f-dual core partial order. We describe the sets of all elements a Rickart ∗-ring which are below a given element under the e-core and f-dual core partial order. New characterizations of weighted-EP elements are given too.