Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2024; 61(6): 1227-1247

Online first article June 25, 2024      Printed November 1, 2024

https://doi.org/10.4134/JKMS.j230540

Copyright © The Korean Mathematical Society.

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

Azadeh Hajaliakbari, Ahmad Moussavi

Tarbiat Modares University; Tarbiat Modares University

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 $R.$

Keywords: Associated primes, good polynomials, weak annihilator, nilpotent associated prime, nilpotent good polynomials

MSC numbers: 16D25, 16S36, 16S50, 16W60

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