A note on commutativity of automorphisms
Let α and β automorphisms of a ring satisfying the equation α+α−1=β+β−1. In this paper we prove some results where this equation itself implies the commutativity of α and β.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171298000283 |
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| _version_ | 1832552159908986880 |
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| author | M. S. Samman M. Anwar Chaudhry A. B. Thaheem |
| author_facet | M. S. Samman M. Anwar Chaudhry A. B. Thaheem |
| author_sort | M. S. Samman |
| collection | DOAJ |
| description | Let α
and β automorphisms of a ring satisfying the equation α+α−1=β+β−1. In
this paper we prove some results where this equation itself implies the commutativity of α
and β. |
| format | Article |
| id | doaj-art-5abe442c582f452a8b3bbcb74a7a2566 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-5abe442c582f452a8b3bbcb74a7a25662025-02-03T05:59:22ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121120120310.1155/S0161171298000283A note on commutativity of automorphismsM. S. Samman0M. Anwar Chaudhry1A. B. Thaheem2Department of Mathematical Science, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mathematical Science, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mathematical Science, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaLet α and β automorphisms of a ring satisfying the equation α+α−1=β+β−1. In this paper we prove some results where this equation itself implies the commutativity of α and β.http://dx.doi.org/10.1155/S0161171298000283Unital ringnilpotent elementautomorphism. |
| spellingShingle | M. S. Samman M. Anwar Chaudhry A. B. Thaheem A note on commutativity of automorphisms International Journal of Mathematics and Mathematical Sciences Unital ring nilpotent element automorphism. |
| title | A note on commutativity of automorphisms |
| title_full | A note on commutativity of automorphisms |
| title_fullStr | A note on commutativity of automorphisms |
| title_full_unstemmed | A note on commutativity of automorphisms |
| title_short | A note on commutativity of automorphisms |
| title_sort | note on commutativity of automorphisms |
| topic | Unital ring nilpotent element automorphism. |
| url | http://dx.doi.org/10.1155/S0161171298000283 |
| work_keys_str_mv | AT mssamman anoteoncommutativityofautomorphisms AT manwarchaudhry anoteoncommutativityofautomorphisms AT abthaheem anoteoncommutativityofautomorphisms AT mssamman noteoncommutativityofautomorphisms AT manwarchaudhry noteoncommutativityofautomorphisms AT abthaheem noteoncommutativityofautomorphisms |