Komutativni prstenovi i njihovi moduli

Gut, Ivana (2014) Komutativni prstenovi i njihovi moduli. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

This paper presents an overview of basic concepts concerning commutative rings and modules. Following definitions and basic theorems from ring theory, this paper is focused on commutative rings and definitions of principal ideal domains, Euclidean domains, unique factorization domains completed with proofs of said theorems. A particular emphasis is given to polynomial ring and its attributes. Second part of this paper is dedicated to modules. Apart from basic definitions from module theory, focus is given to free modules.

Item Type: Thesis (Diploma thesis)
Supervisor: Adamović, Dražen
Date: 2014
Number of Pages: 37
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 13 May 2015 19:57
Last Modified: 02 Jun 2015 11:45
URI: http://digre.pmf.unizg.hr/id/eprint/3947

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