609
Views
2
CrossRef citations to date
0
Altmetric
Research Articles

Strong commutativity preserving skew derivations on Banach algebras

ORCID Icon, ORCID Icon & ORCID Icon
Pages 478-480 | Received 25 Oct 2018, Accepted 12 Mar 2019, Published online: 27 Mar 2019

References

  • Bell HE, Daif MN. On commutativity and strong commutativity preserving maps. Canad Math Bull. 1994;37(4):443–447. doi: 10.4153/CMB-1994-064-x
  • Raza MA, Rehman N. On generalized derivation in rings and Banach algebras. Kragujevac J Math. 2017;41(1): 105–120. doi: 10.5937/KgJMath1701105R
  • Ali S, Khan AN. On commutativity of Banach algebras with derivations. Bull Aust Math Soc. 2015;91:419–425. doi: 10.1017/S0004972715000118
  • Ali S, Khan MS, Khan AN, et al. On rings and algebras with derivations. J Algebra Appl. 2016;15(6):1650107 (10 pages). doi: 10.1142/S0219498816501073
  • Raza MA, Rehman N. On prime and semiprime rings with generalized derivations and non-commutative Banach algebras. Proc Indian Acad Sci Math Sci. 2016;126(3): 389–398. doi: 10.1007/s12044-016-0287-2
  • Ashraf M, Rehman N, Raza MA. A note on commutativity of semiprime Banach algebras. Beitr Algebra Geom. 2016;57(3):553–560. doi: 10.1007/s13366-015-0264-4
  • Raza MA, Khan MS, Rehman N. Some differential identities on prime and semiprime rings and Banach algebras. Rend Circ Mat Palermo (2). 2018. Available from: https://doi.org/10.1007/s12215-018-0358-6.
  • Rehman N, Raza MA. On Lie ideals with generalized derivations and non-commutative Banach algebras. Bull Malays Math Sci Soc. 2017;40(2):747–764. doi: 10.1007/s40840-017-0453-4
  • Rehman N, Khan MS. A note on multiplicative (generalized)-skew derivation on semiprime rings. J Taibah Univ Sci. 2018;12(4):450–454. doi: 10.1080/16583655.2018.1490049
  • Brešar M, Miers CR. Strong commutativity preserving mappings of semiprime rings. Canad Math Bull. 1994;37:457–460. doi: 10.4153/CMB-1994-066-4
  • Deng Q, Ashraf M. On strong commutativity preserving maps. Results Math. 1996;30:259–263. doi: 10.1007/BF03322194
  • De Filippis V, Rehman N, Raza MA. Strong commutativity preserving skew derivations in semiprime rings. Bull Malays Math Sci Soc. 2018;41(4):1819–1834. doi: 10.1007/s40840-016-0429-9
  • Singer IM, Wermer J. Derivations on commutative normed algebras. Math Ann. 1955;129:260–264. doi: 10.1007/BF01362370
  • Chuang CL. The additive subgroup generated by a polynomial. Israel J Math. 1987;59(1):98–106. doi: 10.1007/BF02779669
  • Herstein IN. Topics in ring theory. Chicago: The University of Chicago Press; 1969.
  • Chuang CL. GPIs having coefficients in Utumi quotient rings. Proc Amer Math Soc. 1988;103:723–728. doi: 10.1090/S0002-9939-1988-0947646-4
  • Chuang CL. Differential identities with automorphsims and antiautomorphisms II. J Algebra. 1993;160:130–171. doi: 10.1006/jabr.1993.1181
  • Lin JS, Liu CK. Strong commutativity preserving maps on Lie ideals. Linear Algebra Appl. 2008;428:1601–1609. doi: 10.1016/j.laa.2007.10.006