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Information Journal Paper

Title

A NOTE ON POWER VALUES OF DERIVATION IN PRIME AND SEMIPRIME RINGS

Author(s)

 SAHEBI SHERVIN | RAHMANI VENUS

Pages

  79-88

Abstract

 Let R be a ring with DERIVATION d, such that (d (xy)) n= (d (x)) n (d (y)) n for all x, y Î R and n³1 a fixed integer. In this paper, we show that if R is prime, then d=0 or R is commutative. If R is semiprime, thend maps R into its center. Moreover in semiprime case let A=O (R) be the orthogonal completion of R and B=B (C) be the Boolian ring of C, where C is the extended centroid of R. Then there exists an idempotent e Î B such that e A is a commutative ring and d induces a zero DERIVATION on (1-e) A.

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    Cite

    APA: Copy

    SAHEBI, S., & RAHMANI, V. (2012). A NOTE ON POWER VALUES OF DERIVATION IN PRIME AND SEMIPRIME RINGS. JOURNAL OF MATHEMATICAL EXTENSION, 6(4 (S.N. 15)), 79-88. https://sid.ir/paper/606769/en

    Vancouver: Copy

    SAHEBI SHERVIN, RAHMANI VENUS. A NOTE ON POWER VALUES OF DERIVATION IN PRIME AND SEMIPRIME RINGS. JOURNAL OF MATHEMATICAL EXTENSION. 2012 [cited 2023January30];6(4 (S.N. 15)):79-88. Available from: https://sid.ir/paper/606769/en

    IEEE: Copy

    SAHEBI, S., RAHMANI, V., 2012. A NOTE ON POWER VALUES OF DERIVATION IN PRIME AND SEMIPRIME RINGS. JOURNAL OF MATHEMATICAL EXTENSION, [online] 6(4 (S.N. 15)), pp.79-88. Available: https://sid.ir/paper/606769/en.