SOME REMARKS ON RELATIVE PROJECTIVITY

H. Ansari-Toroghy (Iran) and F. Dorostkar (Iran)

Received November 14, 2007

References:

[1] Frank W. Anderson and Kent R. Fuller, Rings and Categories of Modules, 2nd ed., Springer-Verlag, New York, 1992. [2] H. Ansari-Toroghy, Relative projectivity and related results, Bull. Korean Math. Soc. 41 (2004), 419-426. [3] N. Bourbaki, Commutative Algebra, Addison-Wesley, Reading, Mass., 1972. [4] K. Divaani-Aazar and M. Tousi, Asymptotic associated and attached prime ideals related to projective modules, Comm. Algebra (4) 25 (1997), 1129-1142. [5] K. Divaani-Aazar and M. Tousi, Asymptotic attached prime ideals related to flat modules, Algebra Colloq. 6 (1999), 193-204. [6] R. Y. Sharp, A method for the study of Artinian modules, with an application to asymptotic behavior, Springer Mathematical Sciences Research Institute Publications 15 (1989), 443-465. [7] S. Yassemi, Coassociated primes of modules over a commutative ring, Math. Scand. 80 (1997), 175-187. [8] S. Yassemi, Weakly associated primes under change of rings, Comm. Algebra (6) 26 (1998), 2007-2018.

Keywords and phrases: associated primes, weakly associated primes, projectivity, relative projectivity and relative flatness.