Orthogonality of Generalized (θ,φ)-Derivations on Ideals

Orthogonality of Generalized (θ,φ)-Derivations on Ideals

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摘要 In this paper,necessary and sufficient conditions concerning the orthogonality and the composition of a couple of generalized （θ,φ）-derivations on a nonzero ideal of a semiprime ring are presented.These results are generalizations of several results of Breˇsar and Vukman,which are related to a theorem of Posner on the product of two derivations on a prime ring. In this paper,necessary and sufficient conditions concerning the orthogonality and the composition of a couple of generalized （θ,φ）-derivations on a nonzero ideal of a semiprime ring are presented.These results are generalizations of several results of Breˇsar and Vukman,which are related to a theorem of Posner on the product of two derivations on a prime ring.

作者 Cheng Cheng SUN Jing MA Li Zhi LANG

机构地区 Department of Mathematics

出处《Journal of Mathematical Research and Exposition》 CSCD 2011年第2期315-322,共8页 数学研究与评论（英文版）

关键词 ORTHOGONAL generalized （θ φ）-derivation semiprime ring orthogonal generalized （θ φ）-derivation semiprime ring

分类号 O153.3 [理学—基础数学]

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1BRESAR M, VUKMAN J. Orthogonal derivation and an extension of a theorem of Posner [J]. Rad. Mat., 1989, 5(2): 237-246.
2ARGAC N, NAKAJIMA A, ALBAS E. On orthogonal generalized derivations ofsemiprime rings [J]. Turkish J. Math., 2004, 28(2): 185-194.
3ALBAS E. On ideals and orthogonal generalized derivations of semiprime rings [J]. Math. J. Okayama Univ., 2007, 49: 53-58.
4GOLBASI O, AYDIN N. Orthogoned generalized (σ, τ)derivations of semiprime rings [J]. Siberian Mathematical Journal, 2007, 48: 979-983.
5ASHRAF M, ALSHAMMAKH W S M. On generalized (θ, φ)derivation in ring [J]. Internat. T. Math. Game Theo. Algebra, 2002, 12: 295-300.
6ASHRAF M, ALl A, ALI S. On lie ideals and generalized (θ,φ)derivations in prime ring [J]. Comm. Algebra, 2004, 32: 2977-2985.
7YENIGUL, ARGAC N. On ideals and orthogonal derivations [J]. J. Southwest China Normal Univ., 1995, 20: 137-140.

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Journal of Mathematical Research and Exposition

2011年第2期

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Orthogonality of Generalized (θ,φ)-Derivations on Ideals

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