Onα-almost Artinian modules

• Autorzy: Maryam Davoudian , Ahmad Halali , Nasrin Shirali
• Języki publikacji: EN

Abstrakty

EN

In this article we introduce and study the concept of α-almost Artinian modules. We show that each α-almost Artinian module M is almost Artinian (i.e., every proper homomorphic image of M is Artinian), where α ∈ {0,1}. Using this concept we extend some of the basic results of almost Artinian modules to α-almost Artinian modules. Moreover we introduce and study the concept of α-Krull modules. We observe that if M is an α-Krull module then the Krull dimension of M is either α or α + 1.

Słowa kluczowe

EN

Krull dimension; α-Krull module; α-almost Noetherian module; Noetherian dimension; α-short module

Kategorie tematyczne

• 16P60: Chain conditions on annihilators and summands: Goldie-type conditions , Krull dimension
• 16P40: Noetherian rings and modules
• 16P20: Artinian rings and modules

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 404-413

Daty

wydano

2016-01-01

otrzymano

2015-01-11

zaakceptowano

2016-04-14

online

2016-06-24

Twórcy

autor

Maryam Davoudian

• Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz,

autor

Ahmad Halali

• Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz,

autor

Nasrin Shirali

• Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz,

Identyfikatory

DOI

10.1515/math-2016-0036