CHARACTERIZATION OF 2-PRIMAL IDEALS

C. Selvaraj (India) and S. Petchimuthu (India)

Received October 24, 2007

References:

[1] G. F. Birkenmeier, H. E. Heatherly and E. K. Lee, Completely prime ideals and associated radicals, Proc. Biennial Ohio State-Denision Conference 1992, S. K. Jain and S. T. Rizvi, eds., World Scientific, New Jersey, 1993, pp. 102-129. [2] G. F. Birkenmeier, J. Y. Kim and J. K. Park, A characterization of minimal prime ideals, Glasgow Math. J. 40 (1998), 223-236. [3] G. F. Birkenmeier, J. Y. Kim and J. K. Park, Regularity conditions and the simplicity of prime factor rings, J. Pure Appl. Algebra 115 (1997), 213-230. [4] N. K. Kim and T. K. Kwak, Minimal prime ideals in 2-primal rings, Math. Japon. 50(3) (1999), 415-420. [5] G. Shin, Prime ideals and sheaf representation of a pseudo symmetric ring, Trans. Amer. Math Soc. 184 (1973), 43-60.

Keywords and phrases: completely prime ideals, 2-prime ideals, insertion of factors property.