Vol. 35, No. 3, 1970

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On nearly commutative degree one algebras

John D. Arrison and Michael Rich

Vol. 35 (1970), No. 3, 533–536
Abstract

The main result in this ¬ paper - establishes that there do not exist nodal algebras A satisfying the conditions:

(I) x(xy) + (yx)x = 2(xy)x

(II) (xy)x x(yx) is in N, the set of nilpotent elements of A over any field F whose characteristic is not two.

Mathematical Subject Classification
Primary: 17.10
Milestones
Received: 19 December 1969
Revised: 5 February 1970
Published: 1 December 1970
Authors
John D. Arrison
Michael Rich