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Title

SOME RESULTS ON WEAK ARMENDARIZ RINGS

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Abstract

 ACCORDING TO Z. LIU AND R. ZHAO [5] A RING R IS CALLED WEAK ARMENDARIZ IF WHENEVER POLYNOMIALS F(X) = A0 + A1X + · · · + AMXM, G(X) = B0 + B1X + · · · + BNXN Î R[X] SATISFY F(X) G(X) = 0, THEN AIBJ 2 NIL(R) FOR ALL I, J. THEY HAVE SHOWN THAT, IF R IS A SEMICOMMUTATIVE RING, THEN THE RING R[X] AND THE RING R[X]/(XN) , WHERE (XN) IS THE IDEAL GENERATED BY XN, AND N IS A POSITIVE INTEGER, ARE WEAK ARMENDARIZ. IN THIS NOTE WE INTRODUCE WEAK ARMENDARIZ IDEALS WHICH ARE A GENERALIZATION OF IDEALS HAVE THE WEAKLY INSERTION OF FACTORS PROPERTY (OR SIMPLY WEAKLY IFP) AND INVESTIGATE THEIR PROPERTIES.

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  • Cite

    APA: Copy

    ABOU TALEBI, N.H., & HASHEMI, EBRAHIM. (2009). SOME RESULTS ON WEAK ARMENDARIZ RINGS. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/904428/en

    Vancouver: Copy

    ABOU TALEBI N.H., HASHEMI EBRAHIM. SOME RESULTS ON WEAK ARMENDARIZ RINGS. 2009. Available from: https://sid.ir/paper/904428/en

    IEEE: Copy

    N.H. ABOU TALEBI, and EBRAHIM HASHEMI, “SOME RESULTS ON WEAK ARMENDARIZ RINGS,” presented at the IRANIAN ALGEBRA SEMINAR. 2009, [Online]. Available: https://sid.ir/paper/904428/en

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