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Lokalnost homotopskih endomorfizmov : doktorska disertacijaFranetič, DamirŠtudiramo zvezo med ▫$\lor$▫-razcepi koH-prostora ▫$C$▫ ter razcepi enice na vsoto paroma ortogonalnih idempotentov v sliki reprezentacije ▫$[C,C] \to \text{End}(H_\ast(G))$▫. Pokažemo, da je slika ... te reprezentacije polperfekten kolobar za vsak končen ▫$p$▫-lokalen koH-prostor ▫$C$▫, od koder sledi krepka različica Wilkersonovega izreka. Osnova za razpravo je opis algebrske strukture na ▫$[C,C]$▫, ki jo imenujemo zančni skoraj kolobar. Vpeljemo lokalne zančne skoraj kolobarje in dokažemo izrek o enoličnosi ▫$\lor$▫-razcepov koH-prostorov, ki je povsem analogen Krull-Schmidt-Azumayinemu izreku za module. Dualni rezultati veljajo za H-prostore.Type of material - dissertationPublication and manufacture - Ljubljana : [D. Franetič], 2011Language - slovenianCOBISS.SI-ID - 16196441
Author
Franetič, Damir
Other authors
Pavešić, Petar
Topics
matematika |
algebraična topologija |
algebraična zanka |
zančni skoraj kolobar |
kvaziregularen element |
lokalen kolobar |
idempotent |
razcep na direktno vsoto |
polperfekten kolobar |
izmenljiv kolobar |
potenten kolobar |
zančni objekt |
kozančni objekt |
H-prostor |
koH-prostor |
▫$p$▫-lokalizacija |
racionalizacija |
disertacije |
mathematics |
algebraic theory |
algebraic loop |
loop near-ring |
quasiregular element |
local ring |
idempotent |
direct sum decomposition |
semiperfect ring |
exchange ring |
potent ring |
loop object |
coloop object |
H-space |
coH-space |
▫$p$▫-localization |
rationalization
Library | Call number – location, accession no. ... | Copy status |
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National and University Library, Ljubljana | GS II 713549 glavno skladišče | available - reading room |
FMF, Mathematical Library, Lj. | Skladišče-Jadranska 21 10921/119 |
available - reading room |
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Database name | Field | Year |
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Franetič, Damir | 34640 |
Pavešić, Petar | 10768 |
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