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Associated primes and nilpotent associated primes of skew inverse Laurent series rings

Ahmad Moussavi|Azadeh Hajaliakbari
대한수학회 (The Korean Mathematical Society)|2024.11|대한수학회지 (Journal of the KMS)|제61권 제6호|pp. 1227-1247|DOI 10.4134/JKMS.j230540

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참고문헌

키워드

Associated primesgood polynomialsweak annihilatornilpotent associated primenilpotent good polynomials
주제분류수학

초록

Let $R$ be an associative ring with an identity, $ \sigma $ be an automorphism, and $\delta$ be a $\sigma$-derivation of $R$. In this article, we describe all (nilpotent) associated primes of the skew inverse Laurent series ring $ R((x^{-1}$; $\sigma,\delta)) $ in terms of the (nilpotent) associated primes of $R.$

Abstract

Let $R$ be an associative ring with an identity, $ \sigma $ be an automorphism, and $\delta$ be a $\sigma$-derivation of $R$. In this article, we describe all (nilpotent) associated primes of the skew inverse Laurent series ring $ R((x^{-1}$; $\sigma,\delta)) $ in terms of the (nilpotent) associated primes of $R.$

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