Publication details

A Categorical Contribution to the Kummer Theory of Ideal Numbers


SKULA Ladislav

Year of publication 2003
Type Article in Periodical
Magazine / Source Math.Slovaca
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords Kummer's ideal complex numbers; theory of divisors; Cech-Stone beta compactification; reflection
Description The main result is the description of all maximal delta 1-categories by means of alfa-pseudofilters. A delta 1 - category is a subcategory of the category of all semigroups possessing a divisor theory with less morphisms such that this divisor theory as a reflection. It is shown that these maximal delta 1- categories form a set with cardinal number equal to exp exp alef 0.
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