Rings and modules with Krull dimension

QA Mathematics

Woodward, Alex ; Smith, Patrick

University:University of Glasgow

Department:School of Mathematics and Statistics

关键词: rings, modules, Krull dimension, ring theory, module theory, dimension, chain conditions, boundedness, finite annihilation, prime;   

Others  :  http://theses.gla.ac.uk/118/1/2007woodwardphd.pdf

来源: University of Glasgow

【 摘 要 】

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.