On commutativity of associative rings
Mohd. Shaikhul Ashraf, Murtaza A. Quadri
Abstract
Open-access reader
Mohd. Shaikhul Ashraf, Murtaza A. Quadri
Abstract
Open-access reader
In this paper we prove that if R is a ring with unity satisfying [xy − xn, ym = 0, for all x, y ∈ R and fixed integers m ≥ 1, n ≥ 1, then R is commutative.
OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
In this paper we prove that if R is a ring with unity satisfying [xy − xn, ym = 0, for all x, y ∈ R and fixed integers m ≥ 1, n ≥ 1, then R is commutative.
Key concepts: Mathematics, Associative property, Commutative property, Commutative ring, Ring (chemistry), Pure mathematics, Discrete mathematics, Combinatorics