Advanced search
Publication Cover
Communications in Algebra Volume 49, 2021 - Issue 9
Submit an article Journal homepage
151
Views
0
CrossRef citations to date
0
Altmetric
Articles

On nth power ∗-property in ∗-rings with applications

Mohd Jeelania Department of Computer Applications IET, Mangalayatan University, Aligarh, IndiaCorrespondence[email protected]
,
Husain Alhazmib Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, KSAORCID Iconhttps://orcid.org/0000-0001-7190-5884
ORCID Icon &
Kishan Pal Singhc Department of Mechanical Engineering IET, Mangalayatan University, Aligarh, India
Pages 3961-3968 | Received 07 Jan 2021, Accepted 22 Mar 2021, Published online: 21 Apr 2021

References

  • Ali, S. (2012). On generalized *-derivations in *-rings. Palestine J. Math. 1:32–37.
  • Ali, S., Dar, N. A. (2014). On *-centralizing mappings in rings with involution. Georgian Math. J. 21:25–28.
  • Ali, S., Dar, N. A., Vukman, J. (2013). Jordan left *-centralizers of prime and semiprime rings with involution. Beitr. Algebra Geom. 54(2):609–624. DOI: 10.1007/s13366-012-0117-3.
  • Amitsur, S. A. (1968). Rings with involution. Israel J. Math. 6(2):99–106. DOI: 10.1007/BF02760175.
  • Brešar, M., Vukman, J. (1990). On left derivations and related mappings. Proc. Amer. Math. Soc. 110(1):7–16. DOI: 10.1090/S0002-9939-1990-1028284-3.
  • Beidar, K. I., Martindale, W. S., III., Mikhalev, A. V. (1996). Rings with Generalized Identities, Monographs and Textbooks in Pure and Applied Mathematics, Vol. 196. New York: Marcel Dekker.
  • Bridges, D., Bergen, J. (1984). On the derivation of xn in a ring. Proc. Amer. Math. Soc. 90(1):25–29.
  • Brešar, M., Vukman, J. (1989). On some additive mappings in rings with involution. Aeq. Math. 38(2–3):178–185. DOI: 10.1007/BF01840003.
  • Dar, N. A., Ali, S. (2021). On the structure of generalized Jordan *-derivations of prime rings. Commun. Algebra 49(4):1422–1430. DOI: 10.1080/00927872.2020.1837148.
  • Brešar, M., Zalar, B. (1992). On the structure of Jordan *-dervations. Colloq. Math. 63(2):163–171. DOI: 10.4064/cm-63-2-163-171.
  • Chuang, C. L., Fošner, A., Lee, T. K. (2013). Jordan τ-derivations of locally matrix rings. Algebr. Represent. Theor. 16(3):755–763. DOI: 10.1007/s10468-011-9329-8.
  • Dhara, B., Mondal, S., Ali, S. (2017). On Jordan left *- centralizers in semiprime rings with involution and its applications to *-prime rings. Algebras Groups Geom. 34:1–12.
  • Vukrnan, J. (2008). On (m, n)-Jordan derivations and commutativity of prime rings. Demonstration Math. 41(9):773–778.
  • Fošner, A., Lee, T. K. (2014). Jordan *-derivations of finite-dimensional semiprime algebras. Can. math. bull. 57(1):51–60. DOI: 10.4153/CMB-2012-024-2.
  • Herstein, I. N. (1976). Rings with Involution. Chicago: University of Chicago press.
  • Khan, A. N. (2019). Centralizing and commuting involution in rings with derivations. Comm. Korean Math. Soc. 34(4):1099–1104. DOI: 10.4134/CKMS.c180394.
  • Kurepa, S. (1965). Quadratic and sesquilinear functionals. Glas. Mat. 20:79–92.
  • Lee, T. K., Wong, T. L., Zhou, Y. (2015). The structure of Jordan *-derivations of prime rings. Linear Multilinear Algebra. 63(2):411–422. DOI: 10.1080/03081087.2013.869593.
  • Lee, T. K., Zhou, Y. Q. (2014). Jordan *-derivations of prime rings. J. Algebra Appl. 13(04):1350126–1350129. DOI: 10.1142/S0219498813501260.
  • Šemrl, P. (1988). On quadratic functionals. Bull. Austral. Math. Soc. 37(1):27–28. DOI: 10.1017/S0004972700004111.
  • Šemrl, P. (1990). Quadratic functionals and Jordan *-derivations. Studia Math. 97(3):157–165. DOI: 10.4064/sm-97-3-157-165.
  • Šemrl, P. (1993). Quadratic and quasi-quadratic functionals. Proc. Amer. Math. Soc. 119(4):1105–1113. DOI: 10.1090/S0002-9939-1993-1158008-3.
  • Šemrl, P. (1994). Jordan *-derivations of standard operator algebras. Proc. Amer. Math. Soc. 120:515–518.
  • Vukman, J. (1987). Some functional equations in Banach algebras and an application. Proc. Amer. Math. Soc. 100(1):133–136. DOI: 10.1090/S0002-9939-1987-0883415-0.
  • Zalar, B. (1991). On centralizers of semiprime rings. Comment. Math. Univ. Carol. 32:609–614.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.