پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شماره‌ها | 610 |
| تعداد مقالات | 9,028 |
| تعداد مشاهده مقاله | 67,082,909 |
| تعداد دریافت فایل اصل مقاله | 7,656,366 |
On triple θ-centralizers | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 3، دوره 15، شماره 1، فروردین 2024، صفحه 9-16 اصل مقاله (370.57 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.30207.4365 | ||
| نویسندگان | ||
| Bahman Hayati* ؛ Hamid Khodaei | ||
| Department of Mathematics, Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer, Iran | ||
| تاریخ دریافت: 25 مرداد 1401، تاریخ بازنگری: 20 اسفند 1401، تاریخ پذیرش: 29 اسفند 1401 | ||
| چکیده | ||
| In this paper, we introduce and study a new class of centralizers which are called triple θ-centralizers. We will see that the notions of triple θ-centralizers and θ-centralizers are different. Some observations concerning triple θ-centralizers and approximate triple θ-centralizers are given. | ||
| کلیدواژه‌ها | ||
| Triple θ-centralizer؛ Factorizable؛ Without order؛ Semisimple | ||
| مراجع | ||
|
[1] E. Albas, On τ -centralizers of semiprime rings, Sib. Math. J. 48 (2007), 191–196. [2] S. Ali and C. Haeitinger, Jordan α-centralizers in rings and some applications, Bol. Soc. Paran. Math. 26 (2008), 71–80. [3] S. Ali and S. Huang, On left α-multipliers and commutativity of semiprime rings, Commun. Korean Math. Soc. 27 (2012), 69–76. [4] P.J. Cohen, Factorization in group algebras, Duke Math. J. 26 (1959), 199–205. [5] W. Cortis and C. Haetinger, On Lie ideals and left Jordan σ-centralizers of 2-torsion free rings, Math. J. Okayama Univ. 51 (2009), 111–119. [6] M.N. Daif, M.S.T. Al-Sayiad and N.M. Muthana, An identity on θ-centralizers of semiprime rings, Int. Math. Forum 3 (2008), 937–944. [7] M. Eshaghi Gordji, A. Jabbari and E. Karapinar, Automatic continuity of surjective n-homomorphisms on Banach algebras. Bull. Iran. Math. Soc. 41 (2015), 1207–1211. [8] P. G˘avruta, A generalization of the Hyers-Ulam-Rassias stability of approximately additive mapping, J. Math. Anal. Appl. 184 (1994), 431–436. [9] S. Hejazian, M. Mirzavaziri and M.S. Moslehian, n-Homomorphisms, Bull. Iranian. Math. Soc. 31 (2005), 13–23. [10] S. Helgason, Multipliers of Banach algebras, Ann. Math. 64 (1956), 240-254. [11] S. Huang and C. Haetinger, On θ-centralizers of semiprime rings, Demonst. Math. 45 (2012), 29–34. [12] K. Jarosz, Perturbations of Banach algebras, Lecture Notes in Math. 1120, Springer-Verlag, Berlin, 1985. [13] B.E. Johnson, An introduction to the theory of centralizers, Proc. London Math. Soc. 14 (1964), 299–320. [14] B.E. Johnson, Approximately multiplicative maps between Banach algebras, J. London Math. Soc. 37 (1988), 294–316. [15] B.E. Johnson, Continuity of centralizers on Banach algebras, J. London Math. Soc. 41 (1966), 639–640. [16] S.M. Jung, Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis, Springer Optimization and Its Applications, 48. Springer, New York, 2011. [17] A.Z. Kazempour, Automatic continuity of almost 3-homomorphisms and almost 3-Jordan homomorphisms, Adv. Oper. Theory 5 (2020), 1340–1349. [18] H. Khodaei, Asymptotic behavior of n-Jordan homomorphisms, Mediterr. J. Math. 17 (2020), Art. 143, 1–9. [19] C.K. Liu and W.K. Shiue, Generalized Jordan triple (θ, ϕ)-Derivations on semiprime rings, Taiwane J. Math. 11 (2007), 1397–1406. [20] T. Miura, G. Hirasawa and S.E. Takahasi, Stability of multipliers on Banach algebras, Internat. J. Math. Math. Sci. 45 (2004), 2377–2381. [21] I. Nikoufar and Th.M. Rassias, On θ-centralizers of semiprime Banach ∗-algebras, Ukranian Math. J. 66 (2014), 300–310. [22] E. Park and J. Trout, On the nonexistence of nontrivial involutive n-homomorphisms of C∗-algebras, Trans. Amer. Math. Soc. 361 (2009), 1949–1961. [23] J.K. Wang, Multipliers of commutative Banach algebras, Pacific J. Math., 11 (1961), 1131–1149. [24] J.G. Wendel, Left centralizers and isomorphisms of group algebras, Pacific J. Math. 2 (1952), 251–261. | ||
|
آمار تعداد مشاهده مقاله: 25,650 تعداد دریافت فایل اصل مقاله: 263 |
||