References
- D.D. Anderson, V. Camillo, Semigroups and rings whose zero products commute, Comm. Algebra 27 (1999), 2847-2852. https://doi.org/10.1080/00927879908826596
- D.D. Anderson and Camillo, Victor, Armendariz rings and gaussian rings, Comm. Algebra 26 (1998), 2265-2272. https://doi.org/10.1080/00927879808826274
- R. Antoine, Nilpotent elements and Armendariz rings, J. Algebra 319 (2008), 3128-3140. https://doi.org/10.1016/j.jalgebra.2008.01.019
- E.P. Armendariz, A note on extensions of Baer and P.P.-rings, J. Aust. 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
- G.F. Birkenmeier, H.E. Heatherly, E.K. Lee, Completely prime ideals and associated radicals, Proc. Biennial Ohio State-Denison Conference 1992, edited by S. K. Jain and S. T. Rizvi, World Scientific, Singapore-New Jersey-London-Hong Kong (1993), 102-129.
- W. Chen, On nil-semicommutative rings, Thai J. M. 9 (2011), 39-47.
- P.M. Cohn, Reversible rings, Bull. London Math. Soc. 31 (1999), 641-648. https://doi.org/10.1112/S0024609399006116
- N.J. Divinsky, Rings and Radicals, University of Toronto Press, Toronto, 1965.
- Y. Hirano, D.V. Huynh, J.K. Park, On rings whose prime radical contains all nilpotent elements of index two, Arch. Math. 66 (1996), 360-365. https://doi.org/10.1007/BF01781553
- 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
- S.U. Hwang, Y.C. Jeon, Y. Lee, Structure and topological conditions of NI rings, J. Algebra 302 (2006), 186-199. https://doi.org/10.1016/j.jalgebra.2006.02.032
- N.K. Kim, Y. Lee, Armendariz rings and reduced rings, J. Algebra 223 (2000), 477-488. https://doi.org/10.1006/jabr.1999.8017
- T.Y. Lam, A First Course in Noncommutative Rings, Springer-Verlag, New York, 1991.
- J. Lambek, On the representation of modules by sheaves of factor modules, Canad. Math. Bull. 14 (1971), 359-368. https://doi.org/10.4153/CMB-1971-065-1
- L.Liang, L.M. Wang, Z.K. Liu, On a generalization of semicommutative rings, Taiwanese J, Math. 11 (2007) 1359-1368 https://doi.org/10.11650/twjm/1500404869
- G. Marks, On 2-primal Ore extensions, Comm. Algebra 29 (2001), 2113-2123. https://doi.org/10.1081/AGB-100002173
- L. Motais de Narbonne, Anneaux semi-commutatifs et unis riels anneaux dont les id aux principaux sont idempotents, Proceedings of the 106th National Congress of Learned Societies (Perpignan, 1981), Bib. Nat., Paris (1982), 71-73.
- 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
- L.H. Rowen, Ring Theory, Academic Press, Inc., San Diego, 1991.
- G. Shin, Prime ideals and sheaf representation of a pseudo symmetric ring, Trans. Amer. Math. Soc. 184 (1973), 43-60. https://doi.org/10.1090/S0002-9947-1973-0338058-9
Cited by
- Divisibility on chains of submodules pp.1532-4125, 2018, https://doi.org/10.1080/00927872.2017.1376217
- REVERSIBILITY OVER UPPER NILRADICALS vol.35, pp.2, 2014, https://doi.org/10.4134/ckms.c190109