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. Al...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2016/3983895 |
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| _version_ | 1832553398053896192 |
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| author | Ameer Jaber Moh’D Yasein |
| author_facet | Ameer Jaber Moh’D Yasein |
| author_sort | Ameer Jaber |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-6117d18bba314e7dbb6c500079cc7fd0 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-6117d18bba314e7dbb6c500079cc7fd02025-02-03T05:54:07ZengWileyJournal of Mathematics2314-46292314-47852016-01-01201610.1155/2016/39838953983895Automorphisms and Inner AutomorphismsAmeer Jaber0Moh’D Yasein1Department of Mathematics, The Hashemite University, Zarqa 13115, JordanDepartment of Mathematics, The Hashemite University, Zarqa 13115, JordanLet 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.http://dx.doi.org/10.1155/2016/3983895 |
| spellingShingle | Ameer Jaber Moh’D Yasein Automorphisms and Inner Automorphisms Journal of Mathematics |
| title | Automorphisms and Inner Automorphisms |
| title_full | Automorphisms and Inner Automorphisms |
| title_fullStr | Automorphisms and Inner Automorphisms |
| title_full_unstemmed | Automorphisms and Inner Automorphisms |
| title_short | Automorphisms and Inner Automorphisms |
| title_sort | automorphisms and inner automorphisms |
| url | http://dx.doi.org/10.1155/2016/3983895 |
| work_keys_str_mv | AT ameerjaber automorphismsandinnerautomorphisms AT mohdyasein automorphismsandinnerautomorphisms |