delo diplomskega seminarja
Žan Bajuk (Author), Matej Brešar (Mentor)

Abstract

Definiramo družino algeber, imenovano algebre, določene z dvostranskim ničelnimproduktom. Kot glavni rezultat dokažemo, da se te algebre pod določenimi pred-postavkami ujemajo z dobro znanimi separabilnimi algebrami. Od tod izpeljemokarakterizacijo končno-dimenzionalnih polenostavnih algeber, določenih z dvostran-skim ničelnim produktom. Da dokažemo glavni rezultat, prej razvijemo ustreznoteorijo obeh družin algeber. Med drugim obravnavamo družino algeber, določenih zničelnim produktom in karakteriziramo separabilne algeber nad polji.

Keywords

matematika;2-zpd algebra;zpd algebra;separabilna algebra;Wedderburnov izrek;

Data

Language: Slovenian
Year of publishing:
Typology: 2.11 - Undergraduate Thesis
Organization: UL FMF - Faculty of Mathematics and Physics
Publisher: [Ž. Bajuk]
UDC: 512
COBISS: 77541635 Link will open in a new window
Views: 736
Downloads: 88
Average score: 0 (0 votes)
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Other data

Secondary language: English
Secondary title: 2-sided zero product determined algebras
Secondary abstract: We define a family of algebras, called 2-sided zero product determined algebras.As our main result, we prove that this family of algebras, under some conditions,coincides with the well known family of separable algebras. This makes it possiblefor us to characterize finite-dimensional semisimple 2-sided zero product determinedalgebras. To establish the main result, we first develop the theory of both aforemen-tioned families of algebras. In this context, we consider zero product determinedalgebras and characterize separable algebras over fields.
Secondary keywords: mathematics;2-zpd algebra;zero product determined algebras;separable algebra;Wedderburn theorem;
Type (COBISS): Final seminar paper
Study programme: 0
Thesis comment: Univ. v Ljubljani, Fak. za matematiko in fiziko, Oddelek za matematiko, Matematika - 1. stopnja
Pages: 30 str.
ID: 13495824