On (α, β)-derivations of semiprime rings, II

• Autorzy: Chaudhry M. , Thaheem A.
• Języki publikacji: EN

Słowa kluczowe

EN

automorphism; commuting map; centralizing map; derivation; semiprime ring; reserve derivation

PL

automorfizm; pierwszorzędowe pierścienie; przekształcenia zmienne; pochodne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 4
• Strony: 793--802
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Chaudhry M.

• Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

autor

Thaheem A.

• Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Bibliografia

• [1] H. E. Bell and W. S. Martindale, III, Centralizing mappings of semiprime rings, Canad. Math. Bull. 30 (1987), 92-101.
• [2] H. E. Bell and M. N. Daif, On commutativity and strong commutativity-preserving maps, Canad. Math. Bull. 37 (1994), 443-447.
• [3] M. Brešar and J. Vukman, On some additive mappings in rings with involution, Aequationes Math. 38 (1989), 178-185.
• [4] M. Brešar, On the composition of (α, β)-derivations of rings, and application to von Neumann algebras, Acta Sci. Math. (1992), 369-376.
• [5] M. Brešar, Centralizating mappings and derivations on prime rings, J. Algebra, 156 (1993), 385-394.
• [6] M. Brešar and C. R. Miers, Strong commutativity preserving maps of semiprime rings, Canad. Math. Bull. 37 (1994), 457-460.
• [7] M. Brešar and A. R. Villena, The noncommutative Singer-Wermer conjecture and tp-derivations, J. London Math. Soc. 66 (2002), 710-720.
• [8] M. Anwar Chaudhry and A. B. Thaheem, On (α, β)-derivations of semiprime rings, J, Demonstratio Math. 36 (2003), 285-292.
• [9] M. Anwar Chaudhry and A. B. Thaheem, Centralizing mappings and derivations on semiprime rings, Demonstratio Math. 37 (2004), 285-292.
• [10] M. Anwar Chaudhry and A. B. Thaheem, (α, β)-derivations on semiprime rings, International Mathematical Journal, to appear.
• [11] T. C. Chen, Special identities with (α, β)-derivations, Riv. Mat. Univ. Parma 5 (1996), 109-119.
• [12] I. N. Herstein, Rings with Involution, The University of Chicago Press, 1976.
• [13] V. K. Kharchenko and A. Z. Popov, Skew derivations of prime rings, Comm. Algebra 20 (1992), 3321-3345.
• [14] A. B. Thaheem and M. S. Samman, A note on α-derivations on semiprime rings, Demonstratio Math. 34 (2001), 783-788.
• [15] J. Vukman, Commuting and centralizing mappings in prime rings, Proc. Amer. Math. Soc. 109 (1990), 47-52.
• [16] J. Vukman, Derivations on semiprime rings, Bull. Austral. Math. Soc. 53 (1995), 353-359.