A Categorical Contribution to the Kummer Theory of Ideal Numbers
| Authors | |
|---|---|
| Year of publication | 2003 |
| Type | Article in Periodical |
| Magazine / Source | Math.Slovaca |
| MU Faculty or unit | |
| Citation | |
| 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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