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 ...
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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 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.
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Add this copy of On Spectral Torsion Theories to cart. $54.73, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2012 by LAP Lambert Academic Publishing.
Add this copy of On Spectral Torsion Theories to cart. $86.19, new condition, Sold by Ria Christie Books rated 5.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2012 by LAP Lambert Academic Publishing.
Add this copy of On Spectral Torsion Theories: Rings and Modules Theory to cart. $98.63, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2012 by LAP LAMBERT Academic Publishin.