Polynomial Rings Over Weak Armendariz Rings need not be Weak Armendariz

DOI10.1080/00927872.2012.763131zbMath1298.16014OpenAlexW2105073238MaRDI QIDQ5412095

Weixing Chen

Publication date: 25 April 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2012.763131

zbMATH Keywords

polynomial ringsweak Armendariz rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Generalizations of commutativity (associative rings and algebras) (16U80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (3)

Polynomial extensions of SCN rings need not be SCN ⋮ Unnamed Item ⋮ http://dergipark.gov.tr/journal/380/article/504548/file/610778/download

Cites Work

• Nilpotent elements and Armendariz rings.
• Armendariz rings
• A CONCEPT UNIFYING THE ARMENDARIZ AND NI CONDITIONS
• ON WEAK ARMENDARIZ IDEALS
• Armendariz rings and gaussian rings
• A note on extensions of Baer and P. P. -rings
• Examples of Armendariz Rings
• On Weak Armendariz Rings
• A polynomial ring that is Jacobson radical and not nil.
• On annihilator ideals of a polynomial ring over a noncommutative ring

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