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Kragujevac J. Math. 23 (2001) 11-23.

AUTOMORPHISMS AND PSEUDO-AUTOMORPHISMS OF EXTRA ALGEBRAS

V. O. Chiboka

Michael Okpara University of Agriculture, Umudike; P. M. B. 7267, Umuahia - Abia State, Nigeria

(Received August 4, 1998)

Abstract. This paper is devoted to an investigation of some of the mappings of extra algebras. It is proved that the inner mappings of any extra algebra are indeed pseudo-automorphisms. Each pseudo-automorphism of an extra algebra induces an automorphism of the nucleus. The pseudo-automorphisms are also proved to be semi-automorphisms. Every element of the nucleus determines an inner automorphism of the algebra.