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undergraduate thesis
Jakobsonov radikal
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. urn:nbn:hr:126:959355
Bulajić, Ivana
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

Cite this document

Bulajić, I. (2017). Jakobsonov radikal (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:959355

Bulajić, Ivana. "Jakobsonov radikal." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:959355

Bulajić, Ivana. "Jakobsonov radikal." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:959355

Bulajić, I. (2017). 'Jakobsonov radikal', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 23 April 2024, https://urn.nsk.hr/urn:nbn:hr:126:959355

Bulajić I. Jakobsonov radikal [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2024 April 23] Available at: https://urn.nsk.hr/urn:nbn:hr:126:959355

I. Bulajić, "Jakobsonov radikal", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:959355

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Metadata
TitleJakobsonov radikal
Title (english)Jacobson Radical
AuthorIvana Bulajić
MentorIvan Matić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Algebra, Analysis and Number Theory Research Group)
Osijek
Defense date and country2017-09-21, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Algebra
Abstract
Cilj ovog završnog rada bio je definirati Jacobsonov radikal, kao jedan od primjera ideala te proučiti njegova svojstva i primjene. U prvom dijelu rada definirani su neki osnovni pojmovi, te svojstva radikala i Wedderburnov pristup. Nadalje, uvedeno je nekoliko definicija potrebnih za samo definiranje Jacobsonovog radikala. U drugom dijelu rada iskazane su neke od tvrdnji i njihovi dokazi, u kojima se proučava odnos izmedu elemenata u prstenima i idealima te samim time navedena su neka od svojstava Jacobsonovog radikala. Zbog lakšeg razumijevanja iskazane tvrdnje su potkrijepljene primjerima.
Abstract (english)
The aim of this final paper was to define Jacobson radical, as one of the ideal examples, and to study its properties and applications. In the first part of the paper some basic concepts, such as the radical properties were defined, and the Wedderburn’s process of radicals was mentioned. Furthermore, several definitions were introduced before the definition of the Jacobson radical. In the second part of the paper, some of the statements and their proofs were presented, where the relationships between the elements in the rings and the ideals were studied, and thus some of the properties of the Jacobson radical were provided. For easier understanding of the statements, they were covered by examples.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:959355
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
RepositoryRepository of School of Applied Mathematics and Computer Science
Created on2017-10-06 06:42:30