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Onα-almost Artinian modules

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Davoudian M., Halali A., Shirali N.

Open Mathematics

2016

tom 14

nr 1

404-413

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.

Ograniczanie wyników

1 Open Mathematics

1 Davoudian M.

1 Halali A.

1 Shirali N.

1 2016

Wyniki wyszukiwania

Onα-almost Artinian modules