Derivirane kategorije

Husadžić, Denis (2015) Derivirane kategorije. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

In this thesis the language of category theory is briefly introduced. The theory of additive and Abelian categories is developed culminating with the notion of exactness. This is later used to study cohomology of cochain complexes, the main focus of homological algebra. Localization of categories is introduced as necessary tool for defining derived categories which are used as a setting for the study of derived functors. The result of existence and uniqueness of derived functors when adapted subcategory for left exact functor exists is obtained.

Item Type: Thesis (Diploma thesis)
Supervisor: Pandžić, Pavle
Date: 2015
Number of Pages: 93
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 03 Sep 2015 12:02
Last Modified: 03 Sep 2015 12:02
URI: http://digre.pmf.unizg.hr/id/eprint/4219

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