RINGS WHOSE PRIME RADICALS ARE COMPLETELY PRIME |
KANG, KWANG-HO
(Department of Mathematics Busan Science Academy)
KIM, BYUNG-OK (Department of Mathematics Busan Science Academy) NAM, SANG-JIG (Department of Mathematics Busan National University High School) SOHN, SU-HO (Department of Mathematics Busan Gukje High School) |
1 | G. F. Birkenmeier, H. E. Heatherly, and 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-LondonHong Kong, 1993, 102-129 |
2 | F. Dischinger, Sur les anneauxfortement ti-requliers, C. R. Acad. Sci. Paris, Ser. A 283 (1976), 571-573 |
3 | J. W. Fisher and R. L. Snider, On the von Neumann regularity of rings with regular prime factor rings, Pacific J. Math. 54 (1974), 135-144 DOI |
4 | I. N. Herstein, Topics in Ring Theory, The University of Chicago Press, ChicagoLondon, 1965 |
5 | Y. Hirano, Some studies on strongly n-reqular rings, Math. J. Okayama Univ. 20 (1978), 141-149 |
6 | C. Y. Hong and T. K. Kwak, On minimal strongly prime ideals, Comm. Algebra 28 (2000), no. 10, 4867-4878 DOI ScienceOn |
7 | C. Huh, E. J. Kim, H. K. Kim, and Y. Lee, Nilradicals of power series rings and nil power series rings, submitted |
8 | C. Huh, H. K. Kim, D. S. Lee, and Y. Lee, Prime radicals of formal power series rings, Bull. Korean Math. Soc. 38 (2001), no. 4, 623-633 |
9 | A. A. Klein, Rings of bounded index, Comm. Algebra 12 (1984), no. 1, 9-21 DOI |
10 | Y. Lee, C. Huh, and H. K. Kim, Questions on 2-primal rings, Comm. Algebra 26 (1998), no. 2, 595-600 DOI ScienceOn |
11 | L. H. Rowen, Ring Theory, Academic Press, Inc., San Diego, 1991 |
12 | G. Azumaya, Strongly -reqular rings, J. Fac. Sci. Hokkaido Univ. 13 (1954), 34-39 |
13 | R. Baer, Radical ideals, Amer. J. Math. 65 (1943), 537-568 DOI ScienceOn |
14 | G. Shin, Prime ideals and sheaf representation of a pseudo symmetric rings, Trans. Amer. Math. Soc. 184 (1973), 43-60 DOI ScienceOn |