Publication detail

Categories of semigroups with divisor theory

SKULA, L.

Czech title

Kategorie pologrup s teorií divizorů

English title

Categories of semigroups with divisor theory

Type

journal article - other

Language

en

Original abstract

In this paper the category of semigroups possessing a divisor theory is investigated. The main result presents a theorem that the subcategory of this category of all semigroups with unique factorization is reflective and the divisor theory of a semigroup is a reflection map.

Czech abstract

V práci je vyšerřována kategorie pologrup, které mají teorii divizorů. Hlavním výsledkem je věta, že podkategorie všech pologrup s jednoznačným rozkladem je reflektivní a teorie divizorů pologrupy je reflexe.

English abstract

In this paper the category of semigroups possessing a divisor theory is investigated. The main result presents a theorem that the subcategory of this category of all semigroups with unique factorization is reflective and the divisor theory of a semigroup is a reflection map.

Keywords in Czech

Kategorie delta-pologrup; teorie divizorů; reflektivní podkategorie; reflexe.

Keywords in English

Category of delta-semigroups; divisor theory; relective category; reflection.

Released

15.06.2003

Publisher

University, Patras

Location

Patras

Journal

Bull. Greek Math. Soc.

Volume

48

Number

1

Pages from–to

85–91

Pages count

6

BIBTEX


@article{BUT44838,
  author="Ladislav {Skula},
  title="Categories of semigroups with divisor theory",
  journal="Bull. Greek Math. Soc.",
  year="2003",
  volume="48",
  number="1",
  month="June",
  pages="85--91",
  publisher="University, Patras",
  address="Patras"
}