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Vpliv aksioma regularnosti in nadomestnih različic na osnovne izreke v univerzalni algebri : diplomsko delo : Prešernova nagrada študentom
Dolinar, Gregor, 08.06.1971-
Aksiom regularnosti je dolgo časa veljal predvsem za način, kako iz teorije množic izključiti najbolj nenavadne množice. Predvsem v osemdesetih letih pa so se pojavili primeri, ko se je ta aksiom ...pokazal za preveč omejujočega. Takoje leta 1988 P. Aczel vpeljal aksiom antiregularnosti in s tem predstavil nov, širši pojem množice. Ko je že kazalo, da je aksiom regularnosti postal odvečen, so leta 1994 H. Andréka, Á. Kurucz in I. Németi dokazali, da Birkhoffov izrek, eden najpomembnejših v univerzalni algebri, ni izpeljiv brez aksioma regularnosti. Njihov dokaz je skupaj z delom P. Aczla v žarišču tega dela.
Type of material - undergr. thesis
Publication and manufacture - Ljubljana : [G. Dolinar], 1997
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