On α-nilpotent elements and α-Armendariz rings

DOI10.1142/S0219498815500644zbMath1323.16018OpenAlexW2154124346MaRDI QIDQ4983058

Tai Keun Kwak, Yang Lee, Nam Kyun Kim, Hidetoshi Marubayashi, Hong Kee Kim

Publication date: 14 April 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498815500644

zbMATH Keywords

skew polynomial rings\(\alpha\)-Armendariz rings\(\beta\)-nil-Armendariz rings\(\beta\)-nilpotent elements

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 (1)

Extensions of i-reversible rings

Cites Work

• Unnamed Item
• Nilpotent elements and Armendariz rings.
• Armendariz rings
• Ore extensions of Baer and p.p.-rings.
• Armendariz rings and reduced rings
• RIGIDNESS AND EXTENDED ARMENDARIZ PROPERTY
• Armendariz and Reduced Rings
• Armendariz rings and gaussian rings
• A note on extensions of Baer and P. P. -rings
• A note on semiprimitivity of ore extensions
• Semigroups and rings whose zero products commute
• Primeness, semiprimeness and prime radical of ore extensions
• On Skew Armendariz Rings
• Extensions of Generalized Armendariz Rings
• On the Representation of Modules by Sheaves of Factor Modules

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