1988Bulletin of the Australian Mathematical SocietyOpen access

On commutativity of associative rings

Mohd. Shaikhul Ashraf, Murtaza A. Quadri

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Abstract

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.

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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.

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Available abstract

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

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