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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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