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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 8, Issue 2, Pages 165 - 175 (August 2007)

A NOTE ON INFINITE GOLDIE DIMENSIONS

John Dauns (U. S. A.) and M. Motamedi (Iran)

Abstract:

Here the Goldie dimension of a right R-module M is the cardinalnumber Gdim

equal to the supremum of the cardinalities of index setsIindexingnontrivialdirectsums Forvarious ring extensions and modules over S, the connection between Gdim and Gdim is investigated.

Keywords and phrases:

infinite Goldie dimension, uniform right ideals, normalizing extension, reduced ring.

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