JP Journal of Algebra, Number Theory and Applications
Volume 8, Issue 2, Pages 165 - 175
(August 2007)
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A NOTE ON INFINITE GOLDIE DIMENSIONS
John Dauns (U. S. A.) and M. Motamedi (Iran)
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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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