|
|
|
|
GENERALIZED PRINCIPAL IDEAL THEOREM FOR MODULES
|
|
|
|
|
|
|
|
نویسنده
|
Naghipour Alireza
|
|
منبع
|
journal of algebraic systems - 2015 - دوره : 3 - شماره : 1 - صفحه:23 -30
|
|
چکیده
|
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.
|
|
کلیدواژه
|
Generalized Principal Ideal Theorem ,Prime submodule ,Completely prime submodule
|
|
آدرس
|
shahrekord university, Department of Mathematical Sciences, ایران
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|