Linearni ohranjevalci komutativnosti : magistrsko delo

(UM)

Linearni ohranjevalci komutativnosti : magistrsko delo

Radić, Gordana

Linearni ohranjevalci komutativnosti na matrični algebri so tesno povezani s preslikavami, ki vse matrike ranga 1 preslikajo v matrike ranga 1. Zato najprej določimo obliko linearnih preslikav, ki ... ohranjajo rang 1, nato pa natančno opišemo ne singularne linearne preslikave na algebri kvadratnih matrik z elementi iz algebraično zaprtega polja F s karakteristiko 0. Z močnejšo predpostavko, da preslikava ohranja komutativnost v obe smeri, vendar sedaj brez predpostavke surjektivnosti, dobimo podoben rezultat. Linearne preslikave, ki ohranjajo komutativnost oziroma ohranjajo komutativnost v obe smeri, proučimo tudi na algebri zgoraj trikotnih matrik nad poljubnim poljem in na realni (jordanski) algebri hermitskih kompleksnih matrik. V slednjem primeru dobimo karakterizacijo celo brez predpostavke surjektivnosti in z ohranjanjem komutativnosti samo v eno smer.

Type of material - master's thesis ; adult, serious

Publication and manufacture - Maribor : [G. Radić], 2014

Language - slovenian

COBISS.SI-ID - 20454152

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Digital Library of the University of Maribor – DLUM

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Library	Call number – location, accession no. ...	Copy status
Miklošič Library FPNM, Maribor	D MAG 51 RADIĆ G. Linearni IN: 920140018	available - reading room
University of Maribor Library	Skladišče II 85884	available - reading room

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Year	Impact factor		Edition		Category		Classification
Year	JCR	SNIP	JCR	SNIP	JCR	SNIP	JCR	SNIP

Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Radić, Gordana	35330
Petek, Tatjana	07680

Source: Personal bibliographies and: SICRIS

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