ON A GENERALIZATION OF THE MCCOY CONDITION
![]() ![]() |
Jeon, Young-Cheol
(DEPARTMENT OF MATHEMATICS KOREA SCIENCE ACADEMY)
Kim, Hong-Kee (DEPARTMENT OF MATHEMATICS AND RINS GYEONGSANG NATIONAL UNIVERSITY) Kim, Nam-Kyun (COLLEGE OF LIBERAL ARTS HANBAT NATIONAL UNIVERSITY) Kwak, Tai-Keun (DEPARTMENT OF MATHEMATICS DAEJIN UNIVERSITY) Lee, Yang (DEPARTMENT OF MATHEMATICS BUSAN NATIONAL UNIVERSITY) Yeo, Dong-Eun (DEPARTMENT OF MATHEMATICS BUSAN NATIONAL UNIVERSITY) |
1 | D. D. Anderson and V. Camillo, Semigroups and rings whose zero products commute, Comm. Algebra 27 (1999), no. 6, 2847-2852. DOI ScienceOn |
2 | H. E. Bell, Near-rings in which each element is a power of itself, Bull. Austral. Math. Soc. 2 (1970), 363-368. DOI |
3 | G. F. Birkenmeier, H. E. Heatherly, and E. K. Lee, Completely prime ideals and associated radicals, Ring theory (Granville, OH, 1992), 102-129, World Sci. Publ., River Edge, NJ, 1993. |
4 | V. Camillo and P. P. Nielsen, McCoy rings and zero-divisors, J. Pure Appl. Algebra 212 (2008), no. 3, 599-615. DOI ScienceOn |
5 | P. M. Cohn, Reversible rings, Bull. London Math. Soc. 31 (1999), no. 6, 641-648. DOI |
6 | K. R. Goodearl, von Neumann Regular Rings, Monographs and Studies in Mathematics, 4. Pitman (Advanced Publishing Program), Boston, Mass.-London, 1979. |
7 | K. R. Goodearl and R. B. Warfield, Jr., An Introduction to Noncommutative Noetherian Rings, Cambridge University Press, Cambridge, 1989. |
8 | S. U. Hwang, Y. C, Jeon, and Y. Lee, Structure and topological conditions of NI rings, J. Algebra 302 (2006), no. 1, 186-199. DOI ScienceOn |
9 | J. C. McConnell and J. C. Robson, Noncommutative Noetherian Rings, With the cooperation of L. W. Small. Pure and Applied Mathematics (New York). A Wiley-Interscience Publication. John Wiley & Sons, Ltd., Chichester, 1987. |
10 | N. H. McCoy, Annihilators in polynomial rings, Amer. Math. Monthly 64 (1957), 28-29. |
11 | P. P. Nielsen, Semi-commutativity and the McCoy condition, J. Algebra 298 (2006), no. 1, 134-141. DOI ScienceOn |
![]() |