DOI QR코드

DOI QR Code

ON (α, δ)-SKEW ARMENDARIZ RINGS

  • MOUSSAVI A. (Department of Mathematics University of Tarbiat Modarres Tehran) ;
  • HASHEMI E. (Department of Mathematics Shahrood University of Technology)
  • 발행 : 2005.02.01

초록

For a ring endomorphism $\alpha$ and an $\alpha$-derivation $\delta$, we introduce ($\alpha$, $\delta$)-skew Armendariz rings which are a generalization of $\alpha$-rigid rings and Armendariz rings, and investigate their properties. A semi prime left Goldie ring is $\alpha$-weak Armendariz if and only if it is $\alpha$-rigid. Moreover, we study on the relationship between the Baerness and p.p. property of a ring R and these of the skew polynomial ring R[x; $\alpha$, $\delta$] in case R is ($\alpha$, $\delta$)-skew Armendariz. As a consequence we obtain a generalization of [11], [14] and [16].

키워드

참고문헌

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피인용 문헌

  1. BAER SPECIAL RINGS AND REVERSIBILITY vol.27, pp.4, 2014, https://doi.org/10.14403/jcms.2014.27.4.531
  2. On Weak Symmetric Rings vol.38, pp.2, 2010, https://doi.org/10.1080/00927870902828702
  3. Nil-Armendariz rings relative to a monoid vol.2, pp.1, 2013, https://doi.org/10.1007/s40065-012-0040-3
  4. The McCoy Condition on Ore Extensions vol.41, pp.1, 2013, https://doi.org/10.1080/00927872.2011.623289
  5. ON ANNIHILATIONS OF IDEALS IN SKEW MONOID RINGS vol.53, pp.2, 2016, https://doi.org/10.4134/JKMS.2016.53.2.381
  6. Armendariz group rings vol.45, pp.7, 2017, https://doi.org/10.1080/00927872.2016.1233341
  7. $$\varvec{\sigma }$$ σ -PBW Extensions of Skew Armendariz Rings 2017, https://doi.org/10.1007/s00006-017-0800-4
  8. On Classical Quotient Rings of Skew Armendariz Rings vol.2007, 2007, https://doi.org/10.1155/2007/61549
  9. Ore Extensions of Skew Armendariz Rings vol.36, pp.2, 2008, https://doi.org/10.1080/00927870701718849
  10. On Rings Having McCoy-Like Conditions vol.40, pp.4, 2012, https://doi.org/10.1080/00927872.2010.548842
  11. A UNIFIED APPROACH TO VARIOUS GENERALIZATIONS OF ARMENDARIZ RINGS vol.81, pp.03, 2010, https://doi.org/10.1017/S0004972709001178
  12. Armendariz modules over skew PBW extensions pp.1532-4125, 2019, https://doi.org/10.1080/00927872.2018.1503281