English

The inverse along a product and its applications

Rings and Algebras 2014-12-01 v1

Abstract

In this paper, we study the recently defined notion of the inverse along an element. An existence criterion for the inverse along a product is given in a ring. As applications, we present the equivalent conditions for the existence and expressions of the inverse along a matrix.

Keywords

Cite

@article{arxiv.1411.7847,
  title  = {The inverse along a product and its applications},
  author = {Huihui Zhu and Pedro Patricio and Jianlong Chen},
  journal= {arXiv preprint arXiv:1411.7847},
  year   = {2014}
}