Scientific journal "The News of Altai State University". 2005 #1(35). Mathematics and Computer Science.

Scientific journal of the
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1(35)

2005

$Mathematics and Computer Science$

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T.P. Shiredchenko

About one criterion of commutativity of associative rings

The aim of this paper is to investigate commutativity of rings satisfying the condition: [φ(x) y ψ(x) - h(x) y² f(y) t(x), x] = 0, where are f(u), φ(u), ψ(u), h(u), t(u) ∈ Z[u] fixed polynomials with integer coefficients and h(0) · t(0) = 0, φ(0) · ψ(0) = ±1. The main result of this paper is generalization of one of theorem by Moharram A. Khan, which was published in 2000.

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