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Edited by: Editorial Board of Journal of Data Acquisition and Processing
P.O. Box 2704, Beijing 100190, P.R. China
Sponsored by: Institute of Computing Technology, CAS & China Computer Federation
Undertaken by: Institute of Computing Technology, CAS
Published by: SCIENCE PRESS, BEIJING, CHINA
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      07 April 2023, Volume 38 Issue 2   
    Article

    ISOMORPHISM ON SEMIPRIME (-1,1) RINGS
    1P. Sarada Devi, 2C.Manjula, *3K. Hari Babu
    Journal of Data Acquisition and Processing, 2023, 38 (2): 4264-4268 . 

    Abstract

    In this paper we show that a 2-divisible (-1,1) ring satisfies the identities (x, (y, x, y)) = 0, (x, (y, z), x) = 0, (x, (y, z), w) = ((y, z), w, x) = (w, x, (y, z)). using these identities, we prove that a semiprime 2-divisible (-1,1) ring is isomorphic to a subdirect sum of a semiprime alternative and a semiprime commutative ring. Also, we prove that a prime 2divisible (-1,1) ring R is alternative or commutative.

    Keyword

    Right alternative rings, (-1,1) Rings, Semiprime rings, Isomorphism, semiprime (-1,1) ring, prime (-1,1) rings.


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ISSN 1004-9037

         

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