Publication result detail

A Categorial Contribution to the Kummer Theory of ideal numbers

SKULA, L.

Original Title

A Categorial Contribution to the Kummer Theory of ideal numbers

English Title

A Categorial Contribution to the Kummer Theory of ideal numbers

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

The main result of this article is the description of all maximal delta-categories by means of alpha-ultrapseudofilters. A delta category is a subcategory of the category of all semigroups possessing a divisor theory in the sence of Arnold. It is shown that these maximal delta-categories form a set with cardinal number exp exp alef zero.

English abstract

The main result of this article is the description of all maximal delta-categories by means of alpha-ultrapseudofilters. A delta category is a subcategory of the category of all semigroups possessing a divisor theory in the sence of Arnold. It is shown that these maximal delta-categories form a set with cardinal number exp exp alef zero.

Keywords

Category of semigroups with divisor theory; pseudofilter; delta-category; v-ideal of a semigroup.

Key words in English

Category of semigroups with divisor theory; pseudofilter; delta-category; v-ideal of a semigroup.

Authors

SKULA, L.

Released

17.04.2003

Publisher

Slovak Academy of Sciences

Location

Bratislava

Volume

53

Number

3

Pages from

255

Pages to

271

Pages count

17

BibTex

@article{BUT43160,
  author="Ladislav {Skula}",
  title="A Categorial Contribution to the Kummer Theory of ideal numbers",
  year="2003",
  volume="53",
  number="3",
  pages="255--271"
}