English

Generalized Hirano inverses in rings

Rings and Algebras 2017-08-01 v1

Abstract

We introduce and study a new class of generalized inverse in rings. An element aa in a ring RR has generalized Hirano inverse if there exists some bRb\in R such that bab=b,bcomm2(a),a2abRqnilbab=b, b\in comm^2(a), a^2-ab \in R^{qnil}

Keywords

Cite

@article{arxiv.1707.09389,
  title  = {Generalized Hirano inverses in rings},
  author = {Marjan Sheibani Abdolyousefi and Huanyin Chen},
  journal= {arXiv preprint arXiv:1707.09389},
  year   = {2017}
}
R2 v1 2026-06-22T21:00:41.227Z