Vol. 29, No. 2, 1969

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Peirce decomposition in simple Lie-admissible power-associative rings

William Eugene Coppage

Vol. 29 (1969), No. 2, 251–258
Abstract

The main result is

Theorem. If A is a simple Lie-admissible power-associative ring with characteristic prime to six, and if A has an idempotent e relative to which A has a Peirce decomposition such that A00 = 0, then either e is a unity element of A or AB, where B is a three-dimensional algebra having a basis {e,x,y} such that e2 = e, ex = x, ye = y, xy = yx = e and xe = ey = x2 = y2 = 0.

Mathematical Subject Classification
Primary: 17.20
Milestones
Received: 21 March 1968
Revised: 17 September 1968
Published: 1 May 1969
Authors
William Eugene Coppage