On Spectral Torsion Theories - Uworwabayeho, Alphonse
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The purpose of this thesis was to investigate how spectralness properties of a torsion theory on R-Mod are reflected by properties of the ring R and its ring of quotients. The study draws much more on the work of Zelmanowitz and Gomez-Pardo. Gomez-Pardo proved that there exists a bijective correspondence between the set of spectral torsion theories on R -Mod and rings of quotients of R that are Von Neumann regular and left self-injective. Within this study, we showed that an investigation on an arbitrary spectral torsion theory on R-Mod reduces to the study of the Goldie torsion theory on the…mehr

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Produktbeschreibung
The purpose of this thesis was to investigate how spectralness properties of a torsion theory on R-Mod are reflected by properties of the ring R and its ring of quotients. The study draws much more on the work of Zelmanowitz and Gomez-Pardo. Gomez-Pardo proved that there exists a bijective correspondence between the set of spectral torsion theories on R -Mod and rings of quotients of R that are Von Neumann regular and left self-injective. Within this study, we showed that an investigation on an arbitrary spectral torsion theory on R-Mod reduces to the study of the Goldie torsion theory on the category of modules over a suitable factor ring.This book is most useful for those who are interested in Mathematics, especially in rings and modules theory.
Autorenporträt
Alphonse Uworwabayeho is a lecturer of Mathematics at Kigali Institute of Education (KIE). Prior joining KIE, he was a secondary school mathematics teacher. He completed his master¿s degree in sciences (Mathematics) at University of Natal, South Africa. He is currently pursuing his PhD studies in University of Bristol, UK.