Ureditve višjega eksponenta na nekomutativnih kolobarjih : [doktorska] disertacija

FMF, Mathematical Library, Lj. (MAKLJ)

Ureditve višjega eksponenta na nekomutativnih kolobarjih : [doktorska] disertacija

Cimprič, Jaka

Prvo in drugo poglavje obravnavata teorijo preureditev na polgrupah. V tretjem poglavju posplošimo Beckerjevo verzijo Kadison-Duboisovo reprezentacije na asociativne kolobarje. V četrtem poglavju ... konstruiramo ureditve vseh sodih eksponentov na kolobarju kvantnih polinomov in na domeni Malceva. V petem poglavju dokažemo presečni izrek za ureditev eksponenta ▫$n=2^k$▫ na poljubnih domenah in presečni izrek za ureditve poljubnega eksponenta na Orejevih domenah. Obenem poenostavimo dokaz presečnega izreka za nekomutativne obsege. V šestem poglavju dokažemo, da abstraktni Positivstellensatz in Nullstellensatz za ureditev višjega eksponenta na asociativnih kolobarjih sledita iz presečnega izreka za domene. Odtod sledi, da izreka veljata za ureditve eksponenta ▫$n=2^k$▫ na poljubnih kolobarjih in za ureditve poljubnega eksponenta na noetherskih kolobarjih. V sedmem poglavju ponovimo osnove teorije spektralnih prostorov in v osmem poglavju obravnavamo različne spektralne prostore, ki nastopajo v teoriji ureditev višjega eksponenta. Deveto poglavje obravnava teorijo form višjega reda. Ponovimo dualnost med prostori signatur in reduciranimi prostori form in konstruiramo Postovo ovojnico prostora signatur.

Type of material - dissertation

Publication and manufacture - Ljubljana : [J. Cimprič], 1998

Language - slovenian

COBISS.SI-ID - 8446041

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Skladišče-Jadranska 21 10921/50	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
Cimprič, Jaka	15127
Omladič, Matjaž	09573

Source: Personal bibliographies and: SICRIS

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