Radicals of Ore Extension of Skew Armendariz Rings

DOI10.1080/00927872.2015.1027349zbMath1347.16028OpenAlexW2343919266MaRDI QIDQ2810543

Alireza Nasr-Isfahani

Publication date: 1 June 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1027349

zbMATH Keywords

nil radicalsOre extensionsprime radicalminimal prime idealsskew Armendariz rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Ideals in associative algebras (16D25) General radicals and associative rings (16N80)

Related Items (2)

Remark on the theory of Sergeev frequencies of zeros, signs, and roots for solutions of linear differential equations. II ⋮ Radicals and Köthe's conjecture for skew PBW extensions

Cites Work

• Unnamed Item
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• Ore extensions of Baer and p.p.-rings.
• Polynomial rings over nil rings need not be nil
• Polynomial extensions of quasi-Baer rings.
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• On Skew Power Serieswise Armendariz Rings
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• Armendariz rings and gaussian rings
• A note on extensions of Baer and P. P. -rings
• Semigroups and rings whose zero products commute
• Skew polynomial rings over 2-primal rings
• Primeness, semiprimeness and prime radical of ore extensions
• ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS
• ARMENDARIZ RINGS RELATIVE TO A MONOID
• On Skew Armendariz Rings
• Extensions of Generalized Armendariz Rings
• Ore Extensions of Skew Armendariz Rings
• Power Series Rings Satisfying a Zero Divisor Property
• Near-rings in which each element is a power of itself

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