Cardinality of generating sets for modules over a commutative ring.
Robert Gilmer, William Heinzer (1983)
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Displaying similar documents to “The structure of an almost artinian module.”
Cardinality of generating sets for modules over a commutative ring.
Onα-almost Artinian modules
Maryam Davoudian, Ahmad Halali, Nasrin Shirali (2016)
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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. ...
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