Modules Whose Small Submodules Have Krull Dimension

Details Modules Whose Small Submodules Have Krull Dimension Modules Whose Small Submodules Have Krull Dimension

1998-07-21

arxiv.org/abs/math/9807112v1

J. Pure Appl. Alg. 133 (1998) 197-202

Mathematics

Rings and Algebras

to appear in the Miskolc conference proceeding 1996

Scientific paper

The main aim of this paper is to show that an AB5*-module whose small
submodules have Krull dimension has a radical having Krull dimension. The proof
uses the notion of dual Goldie dimension.

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