Generalized inverses modulo ℋ in semigroups and rings
Generalized inverses modulo ℋ in semigroups and rings
复制标题
DOI：
10.1080/03081087.2012.731054
复制
发表时间：
2013-07
影响因子：
1.1
通讯作者：
X. Mary;P. Patrício
中科院分区：
文献类型：
--
作者：
X. Mary;P. Patrício
逆沿着元素的定义是最近引入的，它包含已知的广义逆，如群，Drazin和Moore-Penrose逆。在这篇文章中，我们首先证明了一个简单的存在性准则，在一个半群上的逆，然后联系到环的单位环上的逆的存在性。
The definition of the inverse along an element was very recently introduced, and it contains known generalized inverses such as the group, Drazin and Moore–Penrose inverses. In this article, we first prove a simple existence criterion for this inverse in a semigroup, and then relate the existence of such an inverse in a ring to the ring units.