Advanced search
Publication Cover
Communications in Algebra Volume 48, 2020 - Issue 3
Submit an article Journal homepage
75
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Derivations over amalgamated algebras along an ideal

M. A. IdrissiDepartment of Mathematics, Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, Fez, MoroccoCorrespondence[email protected]
&
L. OukhtiteDepartment of Mathematics, Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, Fez, Morocco
Pages 1224-1230 | Received 10 May 2019, Accepted 30 Aug 2019, Published online: 29 Dec 2019

References

  • Ali, S., Dar, N. A., Asci, M. (2016). On derivations and commutativity of prime rings with involution. Georgian Math. J. 23(1):9–14.
  • Bell, H. E., Martindale, W. S. III, (1987). Centralizing mappings of semiprime rings. Can. Math. Bull. 30(1):92–101. DOI: 10.4153/CMB-1987-014-x.
  • Bergen, J., Herstein, I. N., Lanski, C. (1983). Derivations with invertible values. Can. J. Math. 35(2):300–310. DOI: 10.4153/CJM-1983-016-0.
  • Bresar, M., Vukman, J. (1991). Jordan (θ,ϕ)-derivations. Glas. Mat. 26(46):13–17.
  • D’Anna, M., Finocchiaro, C. A., Fontana, M. (2009). Amalgamated Algebras along an Ideal. In: Fontana, M., Kabbaj, S., Olberding, B., Swanson, I., eds. Commutative Algebra and Its Applications. Berlin: Walter de Gruyter, pp. 155–172.
  • D’Anna, M., Fontana, M. (2007). An amalgamated duplication of a ring along an ideal: the basic properties. J. Algebra Appl. 6(3):443–459. DOI: 10.1142/S0219498807002326.
  • D’Anna, M., Fontana, M. (2007). The amalgamated duplication of a ring along a multiplicative-canonical ideal. Ark. Mat. 45(2):241–252. DOI: 10.1007/s11512-006-0038-1.
  • Dorroh, J. L. (1932). Concerning adjunctions to algebras. Bull. Amer. Math. Soc. 38(2):85–88. DOI: 10.1090/S0002-9904-1932-05333-2.
  • Herstein, I. N. (1979). A note on derivations II. Can. Math. Bull. 22(4):509–511. DOI: 10.4153/CMB-1979-066-2.
  • Lee, P. H., Lee, T. K. (1981). On derivations of prime rings. Chinese J. Math. 9(2):107–110.
  • Louartiti, K., Tamekkante, M., Mamouni, A. Derivation on Amalgamated Duplication of a Ring along an Ideal. Bol. Soc. Parana. Mat. (Jordan). (To appear).
  • Posner, E. C. (1957). Derivations in prime rings. Proc. Amer. Math. Soc. 8(6):1093–1100. DOI: 10.2307/2032686.
  • Sands, A. D. (1956). Prime ideals in matrix rings. Glas. Math. J. 2(4):193–195. DOI: 10.1017/S2040618500033335.

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.