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master's thesis
Geometrija adjungiranih funktora
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:906680
Blagojević, Boris
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Blagojević, B. (2015). Geometrija adjungiranih funktora (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:906680

Blagojević, Boris. "Geometrija adjungiranih funktora." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:906680

Blagojević, Boris. "Geometrija adjungiranih funktora." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:906680

Blagojević, B. (2015). 'Geometrija adjungiranih funktora', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:906680

Blagojević B. Geometrija adjungiranih funktora [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:906680

B. Blagojević, "Geometrija adjungiranih funktora", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:906680

Metadata
TitleGeometrija adjungiranih funktora
AuthorBoris Blagojević
MentorZoran Škoda (mentor)
Committee memberZoran Škoda (predsjednik povjerenstva)
Committee memberDražen Adamović (član povjerenstva)
Committee memberZvonko Čerin (član povjerenstva)
Committee memberMirko Primc (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-02-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovome radu obrađene su osnove teorije kategorija: reprezentabilnost, limesi, adjungirani funktori i monade, te su izloženi dokazi nekih ključnih rezultata (teoremi o adjungiranom funktoru, Barr–Beckov teorem). Uveden je jezik monoidalnih i obogaćenih kategorija, i ukratko je opisana bikategorijska perspektiva. Alat razvijen u prethodnim poglavljima primjenjen je na kategorije modula nad nekomutativnim prstenom s jedinicom, i obrađena su neka svojstva egzaktnosti funktora koja imaju geometrijske interpretacije. Posebno je dana karakterizacija afinih morfizama u kategoriju modula.
Abstract (english)
The thesis covers the basics of category theory: representability, limits, adjoint functors and monads, and presents proofs of some of the key results in the field (adjoint functor theorems, Barr–Beck theorem). The language of monoidal and enriched categories is introduced, and the bicategorical perspective is briefly described. The tools developed in the previous chapters are applied to categories of modules over a unital non-commutative ring, and certain exactness properties with geometric interpretations are studied. A characterization of affine morphisms into a category of modules is obtained.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:906680
Study programmeTitle: Pure Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2017-05-30 12:07:33