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Journal of Mathematics | Vol.2016, Issue. | | Pages

Journal of Mathematics

Automorphisms and Inner Automorphisms

Ameer Jaber,Moh’D Yasein  
Abstract

Let K be a field of characteristic not 2 and let A=A0+A1 be central simple superalgebra over K, and let ⁎ be superinvolution on A. Our main purpose is to classify the group of automorphisms and inner automorphisms of (A,⁎) (i.e., commuting with ⁎) by using the classical theorem of Skolem-Noether. Also we study two examples of groups of automorphisms and inner automorphisms on even central simple superalgebras with superinvolutions.

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Automorphisms and Inner Automorphisms

Let K be a field of characteristic not 2 and let A=A0+A1 be central simple superalgebra over K, and let ⁎ be superinvolution on A. Our main purpose is to classify the group of automorphisms and inner automorphisms of (A,⁎) (i.e., commuting with ⁎) by using the classical theorem of Skolem-Noether. Also we study two examples of groups of automorphisms and inner automorphisms on even central simple superalgebras with superinvolutions.

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Ameer Jaber,Moh’D Yasein,.Automorphisms and Inner Automorphisms. 2016 (),.

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