Maloid-Hliebova M. The relationship between different types of spectrum of multiplication modules.

This thesis is devoted to the different types of spectrum of modules over associative rings: prime, completely-prime, classically-prime, left, torsion-theoretic, cyclic spectrums, Rosenberg spectrum and Zigler spectrum. Also are studied topological properties of the spectrums and the relationships between these spectrums. In particular, in the thesis is presented definition of two-sided submodule and are studied its properties, are given the notions of classically-prime and fully-prime module spectrums noncommutative rings and are examined their properties. Are proved generalizations of theorem of De Marco Orsatti for different types of spectrums over multiplication modules. In this thesis is given the notion of cyclic spectrum, are examined it's properties, are studied relationships between different types of spectrum of modules and these relationships are presented as a scheme-diagram, similar to the Shigenaga diagram.