On (m, n)-Jordan derivations and commutativity of prime rings

• Autorzy: Vukman J.
• Języki publikacji: EN

Słowa kluczowe

EN

centralizing mapping; prime rings; semiprime rings; derivations; Jordan derivations

PL

odwzorowania; pierścienie; pierścienie pierwsze; pochodne; pochodne Jordana

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2008
• Tom: Vol. 41, nr 4
• Strony: 773--778
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Vukman J.

• Department of Mathematics and Computer Science, University of Maribor, FNM, Koroska 160, 2000 Maribor, Slovenia,

Bibliografia

• [1] M. Bresar, J. Vukman, Jordan derivations on prime rings, Bull. Austral. Math. Soc. 37 (1988), 321-322.
• [2] M. Bresar, Jordan derivations on semiprime rings, Proc. Amer. Math. Soc. 104 (1988), 1003-1006.
• [3] M. Bresar, J. Vukman, On left derivations and related mappings, Proc. Amer. Math. Soc. 110 (1990), 7-16.
• [4] M. Bresar, Jordan mappings of semiprime rings, J. Algebra 127 (1989), 218-228.
• [5] M. Bresar, Applying the theorem of functional identities, Nova J. Math. Game Theory, and Algebra, 4 (1995), N 1, 43-54.
• [6] M. Bresar, B. Hvala, On additive maps of prime rings, II, Publ. Math. Debrecen 54/1-2 (1999), 39-54.
• [7] J. Cusack, Jordan derivations on rings, Proc. Amer. Math. Soc. 53 (1975), 321-324.
• [8] Q. Deng, On Jordan left derivations, Math. J. Okayama Univ. 34 (1992), 145-147.
• [9] I. N. Herstein, Jordan derivations of prime rings, Proc. Amer. Math. Soc. 8 (1957), 1104-1110.
• [10] E. C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc., 8 (1957), 1093-1100.
• [11] J. Vukman, I. Kosi-Ulbl, On some equations related to derivations in rings, Internat. J. Math.&Math. Sci. 17 (2005), 2703-2710.
• [12] J. Vukman, On left Jordan derivations of rings and Banach algebras, Aequationes Math., to appear.