Title of article
A length for Artinian modules
Author/Authors
Alehafttan ، ALI REZA Department of Mathematics - Jundi-Shapur University of Technology
From page
151
To page
164
Abstract
In this paper we shall introduce a theory of length for Artinian modules over an arbitrary ring (with identity), assigning to each Artinian module A an ordinal number len(A) which will briefly be called the length of A. We also demonstrate for some familiar properties of left Artinian ring be proved efficiently using length and arithmetic properties of ordinal numbers.
Keywords
Artinian module , Length dimension , Length function , Length rank , Strictly increasing function
Journal title
Journal of Algebraic Structures and Their Applications
Journal title
Journal of Algebraic Structures and Their Applications
Record number
2760441
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