Generalized Jordan derivations on Lie ideals associate with Hochschild 2-cocycles of rings

被引：3

作者：

ur Rehman N. ^{[1
]}

Hongan M. ^{[2
]}

机构：

[1] Department of Mathematics, Aligarh Muslim University

[2] Department of Mathematics, Tsuyama College of Technology, Tsuyama, Okayama

来源：

Rendiconti del Circolo Matematico di Palermo | 2011年 / 60卷 / 3期

关键词：

Generalized derivations; Generalized Jordan derivations; Hochschild; 2-cocycles; Lie ideals; Prime rings; Semiprime rings;

D O I：

10.1007/s12215-011-0069-8

中图分类号：

学科分类号：

摘要：

Let R be a 2-torsion free ring and L be a Lie ideal of R. In this paper we initiate the study of generalized derivations on Lie ideals associate with Hochschild 2-cocycles and prove that every generalized derivation associate with a Hochschild 2-cocycle on L is a generalized derivation on L under certain conditions. © 2011 Springer-Verlag.

引用

页码：437 / 444

页数：7

共 8 条

[1] Awtar R., Lie ideals and Jordan derivations of prime rings, Proc. Am. Math. Soc, 90, pp. 9-14, (1984)
[2] Bergen J., Herstein I.N., Ker J.W., Lie ideals and derivations of prime rings, J. Algebra, 71, pp. 259-267, (1981)
[3] Bresar M., On the distance of the compositions of two derivations to the generalized derivations, Glasg. Math. J, 33, pp. 89-93, (1991)
[4] Bresar M., Jordan mappings of semiprime rings, J. Algebra, 127, pp. 218-228, (1989)
[5] Bresar M., Vukman J., Jordan derivations of prime rings, Bull. Aust. Math. Soc, 37, pp. 321-322, (1988)
[6] Herstein I.N., Topics in Ring Theory, (1969)
[7] Nakajima A., On categorical properties of generalized derivations, Sci. Math, 2, pp. 345-352, (1999)
[8] Nakajima A., Note on generalized Jordan derivations associate with Hochschild 2-cocycles of rings, Turk. J. Math, 30, pp. 403-411, (2006)

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