Advanced search
Publication Cover
Communications in Algebra Volume 52, 2024 - Issue 3
Submit an article Journal homepage
128
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Annihilating and co-commuting conditions with generalized skew derivations

Francesco RaniaDepartment of Law, Economics and Sociology, Magna Graecia University of Catanzaro, Germaneto, Catanzaro, ItalyCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-2518-266X
ORCID Icon
Pages 969-977 | Received 03 Jul 2023, Accepted 29 Aug 2023, Published online: 12 Sep 2023

References

  • Beidar, K. I., Martindale, W. S., III, Mikhalev, A. V. (1996). Rings with Generalized Identities, Pure and Applied Mathematics. New York: Dekker.
  • Carini, L., De Filippis, V., Dhara, B. (2010). Annihilators on co-commutators with generalized derivations on Lie ideals. Publ. Math. Debrecen 76(4):395–409. DOI: 10.5486/PMD.2010.4304.
  • Chang, J.-C. (2003). On the identitity h(x)=af(x)+g(x)b. Taiwanese J. Math. 7:103–113.
  • Chuang, C. L. (1987). The additive subgroup generated by a polynomial. Israel J. Math. 59:98–106. DOI: 10.1007/BF02779669.
  • Chuang, C.-L. (1988). GPIs having coefficients in Utumi quotient rings. Proc. Amer. Math. Soc. 103:723–728. DOI: 10.1090/S0002-9939-1988-0947646-4.
  • Chuang, C.-L. (1992). Differential identities with automorphisms and antiautomorphisms I. J. Algebra 149:371–404. DOI: 10.1016/0021-8693(92)90023-F.
  • Chuang, C.-L. (1993). Differential identities with automorphisms and antiautomorphisms II. J. Algebra 160:130–171. DOI: 10.1006/jabr.1993.1181.
  • Chuang, C.-L. (2000). Identities with skew derivations. J. Algebra 224:292–335. DOI: 10.1006/jabr.1999.8052.
  • Chuang, C.-L., Lee, T.-K. (2005). Identities with a single skew derivation. J. Algebra 288:59–77. DOI: 10.1016/j.jalgebra.2003.12.032.
  • De Filippis, V. (2010). A product of two generalized derivations on polynomials in prime rings. Collect. Math. 61:303–322. DOI: 10.1007/BF03191235.
  • De Filippis, V., Di Vincenzo, O. M. (2019). Generalized skew derivations and nilpotent values on Lie ideals. Algebra Coll. 26(4):589–614. DOI: 10.1142/S1005386719000440.
  • De Filippis, V., Wei, F. (2018). b-Generalized skew derivations on Lie ideals. Mediterr. J. Math. 15(2):paper n.65. DOI: 10.1007/s00009-018-1103-2.
  • Dhara, B. (2012). Annihilating power values of co-commutators with generalized derivations. Proc. Indian Acad. Sci. (Math. Sci.) 122(1):121–128. DOI: 10.1007/s12044-012-0054-y.
  • Erickson, T. S., Martindale, W. S., III, Osborn, J. M. (1975). Prime nonassociative algebras. Pac. J. Math. 60:49–63. DOI: 10.2140/pjm.1975.60.49.
  • Jacobson, N. (1964). Structure of Rings. Providence, RI: American Mathematical Society.
  • Kharchenko, V. K. (1991). Automorphisms and Derivations of Associative Rings. Dordrecht/Boston/London: Kluwer Academic Publishers.
  • Lee, T.-K. (1999). Generalized derivations of left faithful rings. Commun. Algebra 27(8):4057–4073. DOI: 10.1080/00927879908826682.
  • Martindale, W. S., III. (1969). Prime rings satisfying a generalized polynomial identity. J. Algebra 12:576–584. DOI: 10.1016/0021-8693(69)90029-5.
  • Niu, F., Wu, W. (2006). Annihilator on co-commutators with derivations on Lie ideals in prime rings. Northeast. Math. J. 22(4):415–424.
  • Rania, F. (2008). Generalized derivations and annihilator conditions in prime rings. Int. J. Algebra 2(20):963–969.

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.