References
- S. A. Amitsur, Radicals of polynomial rings, Canad. J. Math., 8(1956), 355-361. https://doi.org/10.4153/CJM-1956-040-9
- R. Antoine, Nilpotent elements and Armendariz rings, J. Algebra, 319(2008), 3128-3140. https://doi.org/10.1016/j.jalgebra.2008.01.019
- E. Armendariz, A note on extensions of Bear and p.p.-rings, J. Austral. Math. Soc., 18(1974), 470-473. https://doi.org/10.1017/S1446788700029190
- H. E. Bell, Near-rings in which each element is a power of itself, Bull. Austral. Math. Soc., 2(1970), 363-368. https://doi.org/10.1017/S0004972700042052
- V. Camillo, C. Y. Hong, N. K. Kim, Y. Lee and P. P. Nielsen, Nilpotent ideals in polynomial and power series rings, Proc. Amer. Math. Soc., 138(2010), 1607-1619. https://doi.org/10.1090/S0002-9939-10-10252-4
- P. M. Cohn, Reversible rings, Bull. London Math. Soc., 31(1999), 641-648. https://doi.org/10.1112/S0024609399006116
- K. R. Goodearl, Von Neumann regular rings, Pitman, London, 1979.
- J. C. Han, Y.-Y. Jung, Y. Lee and H. J. Sung, Insertion-of-factors-property with factors nilpotents, Korean J. Math., 22(2014), 611-619. https://doi.org/10.11568/kjm.2014.22.4.611
- C. Y. Hong, H. K. Kim, N. K. Kim, T. K. Kwak and Y. Lee, Duo property on the monoid of regular elements, (submitted).
- C. Huh, H. K. Kim and Y. Lee, p.p. rings and generalized p.p. rings, J. Pure Appl. Algebra, 167(2002), 37-52. https://doi.org/10.1016/S0022-4049(01)00149-9
- C. Huh, N. K. Kim and Y. Lee, Examples of strongly -regular rings, J. Pure Appl. Algebra, 189(2004), 195-210. https://doi.org/10.1016/j.jpaa.2003.10.032
- C. Huh, Y. Lee and A. Smoktunowicz, Armendariz rings and semicommutative rings, Comm. Algebra, 30(2002), 751-761. https://doi.org/10.1081/AGB-120013179
- S. U. Hwang, N. K. Kim and Y. Lee, On rings whose right annihilators are bounded, Glasg. Math. J., 51(2009), 539-559. https://doi.org/10.1017/S0017089509005163
- Y. C. Jeon, H. K. Kim, Y. Lee and J. S. Yoon, On weak Armendariz rings, Bull. Korean Math. Soc., 46(2009), 135-146. https://doi.org/10.4134/BKMS.2009.46.1.135
- H. K. Kim, T. K. Kwak, Y. Lee and Y. Seo, Insertion of units at zero products, J. Algebra Appl., 16(2018), 1850043, 20 pp.
- N. K. Kim and Y. Lee, Extensions of reversible rings, J. Pure Appl. Algebra, 185(2003), 207-223. https://doi.org/10.1016/S0022-4049(03)00109-9
- N. K. Kim, K. H. Lee and Y. Lee, Power series rings satisfying a zero divisor property, Comm. Algebra, 34(2006), 2205-2218. https://doi.org/10.1080/00927870600549782
- J. Lambek, Lectures on rings and modules, Blaisdell Publishing Company, Waltham, 1966.
- M. B. Rege, S. Chhawchharia, Armendariz rings, Proc. Japan Acad. Ser. A Math. Sci., 73(1997), 14-17. https://doi.org/10.3792/pjaa.73.14