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Ukrainian Mathematical Journal

, Volume 64, Issue 3, pp 456–469 | Cite as

Weak α-skew Armendariz ideals

  • H. A. Tavallaee
  • M. J. Nikmehr
  • M. Pazoki
Article

We introduce the concept of weak α-skew Armendariz ideals and investigate their properties. Moreover, we prove that I is a weak α-skew Armendariz ideal if and only if I[x] is a weak α-skew Armendariz ideal. As a consequence, we show that R is a weak α-skew Armendariz ring if and only if R[x] is a weak α-skew Armendariz ring.

Keywords

Positive Integer Prime Ideal Triangular Matrix Nilpotent Element Matrix Ring 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • H. A. Tavallaee
    • 1
  • M. J. Nikmehr
    • 2
  • M. Pazoki
    • 1
  1. 1.Karaj BranchIslamic Azad UniversityKarajIran
  2. 2.K. N. Toosi University of TechnologyTehranIran

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