Quotients of the Booleanization of an inverse semigroup
Kudryavtseva, Ganna
Uvedemo nov razred upodobitev inverznih polgrup, ki jih imenujemo ▫$X$▫-v-unijo upodobitve. Slednje upodobitve posplošijo znane pokritje-v-unijo upodobitve. V članki konstruiramo univerzalno ...▫$X$▫-v-unijo upodobitev inverzne polgrupe ▫$S$▫ v obiki kvocienta univerzalne Booleanizacije ▫$B(S)$▫, ki v šibkem smislu ohranja preseke. Dokažemo, da vsak tak kvocient ▫$B(S)$▫ nastane s pomočjo ustrezne ▫$X$▫-v-unijo upodobitve. Dobljene rezultate uporabimo za konstruiranje grupoidnih modelov vmesnih mejnih kvocientov ▫$C^\ast$▫-algeber Zappa-Szép produkta desnih LCM polgrup iz dela Brownloweja, Ramagge, Robertsona in Whittakerja.
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