References
- E. P. Armendariz, A note on extensions of Baer and P.P.-rings, J. Austral. Math. Soc. 18 (1974), 470-473. https://doi.org/10.1017/S1446788700029190
- M. Baser, A. Harmanci, and T. K. Kwak, Generalized semicommutative rings and their extensions, Bull. Korean Math. Soc. 45 (2008), no. 2, 285-297. https://doi.org/10.4134/BKMS.2008.45.2.285
- M. Baser, F. Kaynarca, T. K. Kwak, and Y. Lee, Weak quasi-Armendariz rings, to apperar in Algebra Colloq.
- W. Cortes, Skew Armendariz rings and annihilator ideals of skew polynomial rings, Algebraic structures and their representations, 249-259, Contemp. Math., 376, Amer. Math. Soc., Providence, RI, 2005. https://doi.org/10.1090/conm/376/06961
- Y. Hirano, On annihilator ideals of a polynomial ring over a noncommutative ring, J. Pure Appl. Algebra 168 (2002), no. 1, 45-52. https://doi.org/10.1016/S0022-4049(01)00053-6
- C. Y. Hong, N. K. Kim, and T. K. Kwak, Ore extensions of Baer and p.p.-rings, J. Pure Appl. Algebra 151 (2000), no. 3, 215-226. https://doi.org/10.1016/S0022-4049(99)00020-1
- C. Y. Hong, N. K. Kim, and T. K. Kwak, On skew Armendariz rings, Comm. Algebra 31 (2003), no. 1, 103-122. https://doi.org/10.1081/AGB-120016752
- C. Y. Hong, N. K. Kim, and T. K. Kwak, On quasi-rigid ideals and rings, Bull. Korean Math. Soc. 47 (2010), no. 2, 385-399. https://doi.org/10.4134/BKMS.2010.47.2.385
- C. Y. Hong, N. K. Kim, and Y. Lee, Skew polynomial rings over semiprime rings, J. Korean Math. Soc. 47 (2010), no. 5, 879-897. https://doi.org/10.4134/JKMS.2010.47.5.879
- C. Y. Hong, T. K. Kwak, and S. T. Rizvi, Extensions of generalized Armendariz rings, Algebra Colloq. 13 (2006), no. 2, 253-266. https://doi.org/10.1142/S100538670600023X
- A. A. M. Kamal, Some remarks on Ore extension rings, Comm. Algebra 22 (1994), no. 10, 3637-3667. https://doi.org/10.1080/00927879408825048
- N. K. Kim and Y. Lee, Armendariz rings and reduced rings, J. Algebra 223 (2000), no. 2, 477-488. https://doi.org/10.1006/jabr.1999.8017
- J. Krempa, Some examples of reduced rings, Algebra Colloq. 3 (1996), no. 4, 289-300.
- T. Y. Lam, A First Course in Noncommutative Rings, Springer-Verlag, New York, 1991.
- T. K. Lee and Y. Q. Zhou, Armendariz and reduced rings, Comm. Algebra 32 (2004), no. 6, 2287-2299. https://doi.org/10.1081/AGB-120037221
-
J. Matczuk, A characterization of
$\sigma$ -rigid rings, Comm. Algebra 32 (2004), no. 11, 4333-4336. https://doi.org/10.1081/AGB-200034148 - K. R. Pearson and W. Stephenson, A skew polynomial ring over a Jacobson ring need not be a Jacobson ring, Comm. Algebra 5 (1977), no. 8, 783-794. https://doi.org/10.1080/00927877708822194
- M. B. Rege and S. Chhawchharia, Armendariz rings, Proc. Japan Acad. Ser. A Math. Sci. 73 (1997), no. 1, 14-17. https://doi.org/10.3792/pjaa.73.14
Cited by
- Quasi-Armendariz generalized power series rings vol.15, pp.05, 2016, https://doi.org/10.1142/S0219498816500869