شماره ركورد كنفرانس :
4079
عنوان مقاله :
On Notherian Dimension of Artinian modules with uniserial dimension
پديدآورندگان :
Alehafttan .A alirezaalehafttan@yahoo.com Shahid Chamran University of Ahvaz , Shirali .N shirali_n@scu.ac.ir Shahid Chamran University of Ahvaz
كليدواژه :
Noetherian dimension , uniserial dimension , atomic modules
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده فارسي :
In this article we present a direct proof of the fact show that every Artinian uniserial (i.e., its submodules are linearly ordered by induction) module over commutative or right Noetherian rings are 1-atomic. Consequently, we show that if R is a commutative (or, a right Noetherian) ring, then the Noetherian dimension of an Artinian module with the uniserial dimension is less than or equal to 1
