%0 Journal Article
%T Modules with Krull Dimension of at Most α
%J Journal of Advanced Mathematical Modeling
%I Shahid Chamran University of Ahvaz
%Z 2251-8088
%A Shirali, Nasrin
%D 2011
%\ 05/22/2011
%V 1
%N 1
%P 13-26
%! Modules with Krull Dimension of at Most α
%K Goldie dimension
%K Krull dimension
%K α-critical module
%K α-loewy module
%R
%X 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.
%U https://jamm.scu.ac.ir/article_10018_0761692a643ea78221774298808849f2.pdf