All Title Author
Keywords Abstract

The Some Properties of Skew Polynomial Rings

DOI: 10.4236/apm.2016.67037, PP. 507-511

Keywords: Skew Polynomial Ring, (Quasi)-Baer Ring, Armendariz Ring, Morita Context Ring, Morita Invariance, Nozero Divisor Ring

Full-Text   Cite this paper   Add to My Lib


This paper mainly studies some properties of skew polynomial ring related to Morita invariance, Armendariz and (quasi)-Baer. First, we show that skew polynomial ring has no Morita invariance by the counterexample. Then we prove a necessary condition that skew polynomial ring constitutes Armendariz ring. We lastly investigate that condition of skew polynomial ring is a (quasi)-Baer ring, and verify that the conditions is necessary, but not sufficient by example and counterexample.


[1]  Jin, L. (2014) Some Properties of Skew Polynomial Rings. MS Thesis, Yanbian University, Yanji.
[2]  Rege, M.B. and Chhawchharia, S. (1997) Armendariz Rings. Proceedings of the Japan Academy, Series A, Mathematical Sciences, 73, 14-17.
[3]  Chan, Y.H., Nam, K. and Yang, L. (2010) Skew Polynomial Rings over Semiprime Rings. Journal of the Korean Mathematical Society, 47, 879-897.
[4]  Birkenmeier, G.F., Kim, J.Y. and Park, J.K. (2001) Principally Quasi-Baer Rings. Communications in Algebra, 29, 1-22.
[5]  Song, J.Q. (1997) Baer and Quasi-Baer Rings of Iterated Skew Polynomial Rings. Journal of Mathematical Research and Exposition, 26, 103-106.
[6]  Lambek, J. (1996) Lectures on Modules and Rings. Blaisdell, Waltham.
[7]  Jin, H.L. (2003) Principally Quasi-Baer Skew Group Ring and Fixed Rings. PhD Thesis, Pusan National University, Pusan.
[8]  Cohn, P.M. (1999) Reversible Rings. Bulletin London Mathematical Society, 31, 641-648.
[9]  Li, J. (2010) Condition for Morita Context Ring Become the (Quasi)-Baer Ring. Yanbian University, Yanji.


comments powered by Disqus

Contact Us


微信:OALib Journal