Automorphisms and Inner Automorphisms. (7th February 2016)

• Record Type: Journal Article
• Authors: Jaber, Ameer; Yasein, Moh'D
• Other Names: Hong Shaofang Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2016(2016)
• Publication Date: 2016-02-07
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2016/3983895
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : Let K be a field of characteristic not 2 and let A = A 0 + A 1 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.