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@article{594506, author = {Skula, Ladislav}, article_location = {Bratislava}, article_number = {3}, keywords = {Kummer's ideal complex numbers; theory of divisors; Cech-Stone beta compactification; reflection}, language = {eng}, issn = {0002-9947}, journal = {Math.Slovaca}, title = {A Categorical Contribution to the Kummer Theory of Ideal Numbers}, volume = {53(2003)}, year = {2003} }
TY - JOUR ID - 594506 AU - Skula, Ladislav PY - 2003 TI - A Categorical Contribution to the Kummer Theory of Ideal Numbers JF - Math.Slovaca VL - 53(2003) IS - 3 SP - 255-271 EP - 255-271 PB - Slovak Academy of Science SN - 00029947 KW - Kummer's ideal complex numbers KW - theory of divisors KW - Cech-Stone beta compactification KW - reflection N2 - 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. ER -
SKULA, Ladislav. A Categorical Contribution to the Kummer Theory of Ideal Numbers. \textit{Math.Slovaca}. Bratislava: Slovak Academy of Science, 2003, 53(2003), No~3, p.~255-271. ISSN~0002-9947.
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