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Rings and modules with Krull dimension

Woodward, Alex (2007) Rings and modules with Krull dimension. PhD thesis, University of Glasgow.

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Abstract

This thesis concerns the interplay between the structures of modules and those of their overlying rings; investigating finite annihilation, prime submodules, boundedness and the relationships between various forms of Krull dimension.

Item Type: Thesis (PhD)
Qualification Level: Doctoral
Additional Information: Sections of this thesis have been published in the Bulletin of the London Mathematical Society, the Mediterranean Journal of Mathematics and the Journal of Algebra.
Keywords: rings, modules, Krull dimension, ring theory, module theory, dimension, chain conditions, boundedness, finite annihilation, prime
Subjects: Q Science > QA Mathematics
Colleges/Schools: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Supervisor's Name: Smith, Dr Patrick
Date of Award: 2007
Depositing User: Dr Alex Woodward
Unique ID: glathesis:2007-118
Copyright: Copyright of this thesis is held by the author.
Date Deposited: 06 Mar 2008
Last Modified: 10 Dec 2012 13:15
URI: http://theses.gla.ac.uk/id/eprint/118

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