ANNIHILATING PROPERTY OF ZERO-DIVISORS |
Jung, Da Woon
(Finance.Fishery.Manufacture Industrial Mathematics Center on Big Data Pusan National University)
Lee, Chang Ik (Department of Mathematics Pusan National University) Lee, Yang (Department of Mathematics Pusan National University) Nam, Sang Bok (Department of Computer Engineering Kyungdong University) Ryu, Sung Ju (Department of Mathematics Pusan National University) Sung, Hyo Jin (Department of Mathematics Pusan National University) Yun, Sang Jo (Department of Mathematics Dong-A University) |
1 | 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 DOI |
2 | J. L. Dorroh, Concerning adjunctions to algebras, Bull. Amer. Math. Soc. 38 (1932), no. 2, 85-88. https://doi.org/10.1090/S0002-9904-1932-05333-2 DOI |
3 | K. E. Eldridge, Orders for finite noncommutative rings with unity, Amer. Math. Monthly 73 (1966), 376-377. DOI |
4 | K. R. Goodearl and R. B. Warfield, Jr., An introduction to noncommutative Noetherian rings, London Mathematical Society Student Texts, 16, Cambridge University Press, Cambridge, 1989. |
5 | Y. Hirano, D. van Huynh, and J. K. Park, On rings whose prime radical contains all nilpotent elements of index two, Arch. Math. (Basel) 66 (1996), no. 5, 360-365. https://doi.org/10.1007/BF01781553 DOI |
6 | C. Huh, Y. Lee, and A. Smoktunowicz, Armendariz rings and semicommutative rings, Comm. Algebra 30 (2002), no. 2, 751-761. https://doi.org/10.1081/AGB-120013179 DOI |
7 | S. U. Hwang, Y. C. Jeon, and Y. Lee, Structure and topological conditions of NI rings, J. Algebra 302 (2006), no. 1, 186-199. https://doi.org/10.1016/j.jalgebra.2006.02.032 DOI |
8 | S. U. Hwang, N. K. Kim, and Y. Lee, On rings whose right annihilators are bounded, Glasg. Math. J. 51 (2009), no. 3, 539-559. https://doi.org/10.1017/S0017089509005163 DOI |
9 | N. Jacobson, Some remarks on one-sided inverses, Proc. Amer. Math. Soc. 1 (1950), 352-355. https://doi.org/10.2307/2032383 DOI |
10 | Y. C. Jeon, H. K. Kim, Y. Lee, and J. S. Yoon, On weak Armendariz rings, Bull. Korean Math. Soc. 46 (2009), no. 1, 135-146. https://doi.org/10.4134/BKMS.2009.46.1.135 DOI |
11 | N. K. Kim and Y. Lee, Extensions of reversible rings, J. Pure Appl. Algebra 185 (2003), no. 1-3, 207-223. https://doi.org/10.1016/S0022-4049(03)00109-9 DOI |
12 | P. P. Nielsen, Semi-commutativity and the McCoy condition, J. Algebra 298 (2006), no. 1, 134-141. https://doi.org/10.1016/j.jalgebra.2005.10.008 DOI |