On Jordan left-I-centralizers of prime and semiprime gamma rings with involution
Let M be a 2-torsion free Γ-ring with involution I satisfying the condition xαyβz=xβyαz for all x,y,z∈M and α,β∈Γ. The object of our paper is to show that every Jordan left-I-centralizer on a semiprime Γ-ring with involution I, is a reverse left-I-centralizer. We solve some functional equations in p...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2016-01-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X14001035 |
| _version_ | 1818306692782227456 |
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| author | Kalyan Kumar Dey Akhil Chandra Paul Bijan Davvaz |
| author_facet | Kalyan Kumar Dey Akhil Chandra Paul Bijan Davvaz |
| author_sort | Kalyan Kumar Dey |
| collection | DOAJ |
| description | Let M be a 2-torsion free Γ-ring with involution I satisfying the condition xαyβz=xβyαz for all x,y,z∈M and α,β∈Γ. The object of our paper is to show that every Jordan left-I-centralizer on a semiprime Γ-ring with involution I, is a reverse left-I-centralizer. We solve some functional equations in prime and semiprime Γ-rings with involution I by means of the above results. Moreover, we discuss some more related results. |
| first_indexed | 2024-12-13T06:46:32Z |
| format | Article |
| id | doaj.art-6ec930e34290407d941160f85b0497b6 |
| institution | Directory Open Access Journal |
| issn | 1110-256X |
| language | English |
| last_indexed | 2024-12-13T06:46:32Z |
| publishDate | 2016-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-6ec930e34290407d941160f85b0497b62022-12-21T23:56:16ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2016-01-0124181410.1016/j.joems.2014.08.002On Jordan left-I-centralizers of prime and semiprime gamma rings with involutionKalyan Kumar Dey0Akhil Chandra Paul1Bijan Davvaz2Department of Mathematics, Rajshahi University, Rajshahi 6205, BangladeshDepartment of Mathematics, Rajshahi University, Rajshahi 6205, BangladeshDepartment of Mathematics, Yazd University, Yazd, IranLet M be a 2-torsion free Γ-ring with involution I satisfying the condition xαyβz=xβyαz for all x,y,z∈M and α,β∈Γ. The object of our paper is to show that every Jordan left-I-centralizer on a semiprime Γ-ring with involution I, is a reverse left-I-centralizer. We solve some functional equations in prime and semiprime Γ-rings with involution I by means of the above results. Moreover, we discuss some more related results.http://www.sciencedirect.com/science/article/pii/S1110256X14001035Prime Γ-ringSemiprime Γ-ringInvolution |
| spellingShingle | Kalyan Kumar Dey Akhil Chandra Paul Bijan Davvaz On Jordan left-I-centralizers of prime and semiprime gamma rings with involution Journal of the Egyptian Mathematical Society Prime Γ-ring Semiprime Γ-ring Involution |
| title | On Jordan left-I-centralizers of prime and semiprime gamma rings with involution |
| title_full | On Jordan left-I-centralizers of prime and semiprime gamma rings with involution |
| title_fullStr | On Jordan left-I-centralizers of prime and semiprime gamma rings with involution |
| title_full_unstemmed | On Jordan left-I-centralizers of prime and semiprime gamma rings with involution |
| title_short | On Jordan left-I-centralizers of prime and semiprime gamma rings with involution |
| title_sort | on jordan left i centralizers of prime and semiprime gamma rings with involution |
| topic | Prime Γ-ring Semiprime Γ-ring Involution |
| url | http://www.sciencedirect.com/science/article/pii/S1110256X14001035 |
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