On Jordan left-I-centralizers of prime and semiprime gamma rings with involution | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 24, Issue 1, 2016, Pages 8-14 PDF (409.78 K) | ||
| DOI: 10.1016/j.joems.2014.08.002 | ||
| Authors | ||
| Kalyan Kumar Dey1; Akhil Chandra Paul1; Bijan Davvaz2 | ||
| 1Department of Mathematics, Rajshahi University, Rajshahi 6205, Bangladesh | ||
| 2Department of Mathematics, Yazd University, Yazd, Iran | ||
| Abstract | ||
| LetMbe a 2-torsion free C-ring with involution I satisfying the condition xaybz ¼ xbyaz for all x; y; z 2 M and a; b 2 C. The object of our paper is to show that every Jordan left-I-centralizer on a semiprime C-ring with involution I, is a reverse left-I-centralizer. We solve some functional equations in prime and semiprime C-rings with involution I by means of the above results. Moreover, we discuss some more related results. | ||
| Keywords | ||
| Prime C-ring; Semiprime C-ring; Involution | ||
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