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The Armendariz module and its application to the Ikeda-Nakayama module.

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Publication:933858
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DOI10.1155/IJMMS/2006/35238zbMath1143.16008MaRDI QIDQ933858

Muhammet Tamer Koşan

Publication date: 28 July 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54418


zbMATH Keywords

Armendariz ringsleft annihilatorsright Ikeda-Nakayama rings


Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Other classes of modules and ideals in associative algebras (16D80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)


Related Items (2)

A UNIFIED APPROACH TO VARIOUS GENERALIZATIONS OF ARMENDARIZ RINGS ⋮ On skew polynomials over Ikeda-Nakayama rings



Cites Work

  • Unnamed Item
  • Ikeda-Nakayama modules
  • Armendariz rings and reduced rings
  • Ikeda-Nakayama rings
  • Armendariz and Reduced Rings
  • Armendariz rings and gaussian rings
  • A note on extensions of Baer and P. P. -rings
  • On Some Characteristic Properties of Quasi-Frobenius and Regular Rings
  • On annihilator ideals of a polynomial ring over a noncommutative ring




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