GENERALIZED PRINCIPAL IDEAL THEOREM FOR MODULES
نویسندگان
1 Department of Mathematical Sciences, Shahrekord University, P.O.Box 115, Shahrekord, Iran.
doi
10.22044/jas.2015.484چکیده
The Generalized Principal Ideal Theorem is one of the cornerstones of dimension theory for Noetherian rings. For an R-module M, we identify certain submodules of M that play a role analogous to that of prime ideals in the ring R. Using this definition, we extend the Generalized Principal Ideal Theorem to modules.
