English

On the non-commutative Newton binomial formula

Functional Analysis 2019-03-01 v1

Abstract

In this article, using generalized derivations, we obtain a simple idea to prove the non-commutative Newton binomial formula in unital algebras and then, we extend that formula to non-unital algebras. Additionally, we establish the non-commutative Newton binomial formula with a negative power.

Keywords

Cite

@article{arxiv.1902.10939,
  title  = {On the non-commutative Newton binomial formula},
  author = {A. Hosseini and M. Mohammadzadeh Karizaki},
  journal= {arXiv preprint arXiv:1902.10939},
  year   = {2019}
}

Comments

This paper contains 11 pages, 2 sections, 3 main results

R2 v1 2026-06-23T07:53:53.250Z