On a generalization of central Armendariz rings

Subject Areas : Rings theory

M.  Sanaei ¹ (Department of Mathematics, Islamic Azad University, Central Tehran Branch, 13185/768, Iran)
Sh.  Sahebi ² (Department of Mathematics, Islamic Azad University, Central Tehran Branch, 13185/768, Iran)
H. H. S.  Javadi ³ (Department of Mathematics and Computer Science, Shahed University, Tehran, Iran)

Received: 2018-09-01 Accepted : 2018-11-30 Published : 2019-02-01

Keywords:

References:

[1] N. G. Agayev, G. Harmanci, A. Halicioglu, Central Armendariz rings, Bull. Malaysian. Math. Sci. Soc. 34 (1) (2011), 137-145.

[2] D. D. Anderson, V. Camillo, Armendariz rings and Gaussian rings, Comm. Algebra. 26 (7) (1998), 2265-2272.

[3] E. P. Armendariz, A note on extensions of Baer and p.p-rings, J. Austral. Math. Soc. 18 (1974), 470-473.

[4] W. Chen, W. Tong, A note on skew Armendariz rings, Comm. Algebra. 33 (4) (2005), 1137-1140.

[5] W. Chen, W. Tong, Ring endomorphisms with the reversible condition, Commun. Korean. Math. Soc. 25 (3) (2010), 349-364.

[6] Ch. Y. Hong, N. k. Kim, T. K. Kwak, On skew Armendariz rings, Comm. Algebra. 31 (1) (2003), 103-122.

[7] Ch. Y. Hong, T. K. Kwak, S. T. Rizivi, Extention of generalized Armendariz rings, Algebra. Colloq. 13 (2) (2006), 253-266.

[8] C. Huh, Y. Lee, A. Smoktunowicz, Armendariz rings and semicommutative rings, Comm. Algebra. 30 (2) (2002), 751-761.

[9] N. K. Kim, Y. Lee, Armendariz rings and reduced rings, J. Algebra. 223 (2) (2000), 477-488.

[10] M. B. Rege, S. Chhawchharia, Armendariz rings, Proc. Japan Acad. Math. Sci. (Ser A). 73 (1997), 14-17.