SQUARE-FREE MONOMIAL IDEALS AND STABILITY OF CERTAIN SET OF ASSOCIATED PRIME IDEALS

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Khashyarmanesh Kazem; Nasernejad Mehrdad

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Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2016 | Issue:47

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Title

SQUARE-FREE MONOMIAL IDEALS AND STABILITY OF CERTAIN SET OF ASSOCIATED PRIME IDEALS

Author(s)

Khashyarmanesh Kazem | Nasernejad Mehrdad | Issue Writer Certificate

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Abstract

LET R BE A COMMUTATIVE NOETHERIAN RING AND I BE AN IDEAL OF R. A WELL-KNOWN RESULT OFBRODMANN SEE [1] SHOWED THAT THE SEQUENCE ASSR (R/IK) K1 OF ASSOCIATED PRIME IDEALS IS STATIONARYFOR LARGE K, I.E., THERE EXISTS A POSITIVE INTEGER K0 SUCH THAT ASSR (R/IK) =ASSR (R/IK0) FOR ALL KK0. A MINIMAL SUCH K0 IS CALLED THE INDEX OF STABILITY OF I AND ASSR (R/IK0) IS CALLED THE STABLESET OF ASSOCIATED PRIME IDEALS OF I, WHICH IS DENOTED BY ASS (I). ...

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APA: Copy

Khashyarmanesh, Kazem, & Nasernejad, Mehrdad. (2016). SQUARE-FREE MONOMIAL IDEALS AND STABILITY OF CERTAIN SET OF ASSOCIATED PRIME IDEALS. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/938963/en

Vancouver: Copy

Khashyarmanesh Kazem, Nasernejad Mehrdad. SQUARE-FREE MONOMIAL IDEALS AND STABILITY OF CERTAIN SET OF ASSOCIATED PRIME IDEALS. 2016. Available from: https://sid.ir/paper/938963/en

IEEE: Copy

Kazem Khashyarmanesh, and Mehrdad Nasernejad, “SQUARE-FREE MONOMIAL IDEALS AND STABILITY OF CERTAIN SET OF ASSOCIATED PRIME IDEALS,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2016, [Online]. Available: https://sid.ir/paper/938963/en

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