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Title: Homotopy theory of differential graded modules and adjoints of restriction of scalars
Author: Abbasirad, Mohammad Mahdi
ISNI:       0000 0004 5348 8943
Awarding Body: University of Sheffield
Current Institution: University of Sheffield
Date of Award: 2014
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This study constructs two different model structures called projective and injective model on the category of differential graded modules over a differential graded ring and also provides an explicit description of fibrant and cofibrant objects for these models. The constructions are based on the concept and properties of semi-projective and semi-injective modules and other kinds of projectivity and injectivity in the category of differential graded modules. Also an analysis of behavior of functors; restriction, extension and co-extension of scalars is given. Furthermore, some conditions under which an adjunction becomes a Quillen pair and a Quillen pair becomes a Quillen equivalence are described. Additionally, a relationship between restriction and co-extension for compact Lie groups is discovered.
Supervisor: Greenlees, John Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available