English

On Hirano inverses in rings

Rings and Algebras 2017-08-24 v1

Abstract

We introduce and study a new class of Drazin inverses. An element aa in a ring RR has Drazin inverse bb if a2abN(R)a^2-ab\in N(R), ab=baab=ba and b=babb=bab. Every Hirano inverse of an element is its Drazin inverse.We drive several characterization for this generalized inverse.

Keywords

Cite

@article{arxiv.1708.07043,
  title  = {On Hirano inverses in rings},
  author = {Huanyin Chen and Marjan Sheibani},
  journal= {arXiv preprint arXiv:1708.07043},
  year   = {2017}
}
R2 v1 2026-06-22T21:21:51.335Z