Shahid Chamran University of AhvazJournal of Advanced Mathematical Modeling2251-80881120110522Modules with Krull Dimension of at Most αModules with Krull Dimension of at Most α132610018FANasrinShiraliDepartment of Mathematics, Shahid Chamran University, Ahvaz, IranJournal Article20130610In this article we have introduced and studied the notation of α-loewy modules (0-loewy modules is just a loewy module). Using this concept we extend some of the basic results of loewy modules to α-loewy modules and we find a universal upper bound for Krull dimension over ߙ- loewy rings. In particular, we show that module M has Krull dimension α if and only if each factor module of M is lambda-loewy modules for some lambda <=α and has finite Goldie dimension.In this article we have introduced and studied the notation of α-loewy modules (0-loewy modules is just a loewy module). Using this concept we extend some of the basic results of loewy modules to α-loewy modules and we find a universal upper bound for Krull dimension over ߙ- loewy rings. In particular, we show that module M has Krull dimension α if and only if each factor module of M is lambda-loewy modules for some lambda <=α and has finite Goldie dimension.https://jamm.scu.ac.ir/article_10018_0761692a643ea78221774298808849f2.pdf