Publication result detail

Complete lattice morphisms compatible with closure operators

ŠLAPAL, J.

Original Title

Complete lattice morphisms compatible with closure operators

English Title

Complete lattice morphisms compatible with closure operators

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

We study closure operators on complete lattices that behave similarly to the usual closure operators on (power) sets. We define and study certain morphisms between complete lattices. These morphisms are discussed with respect to closure operators on complete lattices. We investigate the behavior of the morphisms with respect to regular, continuous and closed maps between complete lattices with a closure operator.

English abstract

We study closure operators on complete lattices that behave similarly to the usual closure operators on (power) sets. We define and study certain morphisms between complete lattices. These morphisms are discussed with respect to closure operators on complete lattices. We investigate the behavior of the morphisms with respect to regular, continuous and closed maps between complete lattices with a closure operator.

Keywords

Complete lattice, morphism, closure operator

Key words in English

Complete lattice, morphism, closure operator

Authors

ŠLAPAL, J.

RIV year

2011

Released

31.12.2010

ISBN

1686-0209

Periodical

Thai Journal of Mathematics

Volume

8

Number

2

State

Kingdom of Thailand

Pages from

255

Pages to

262

Pages count

8

BibTex

@article{BUT47154,
  author="Josef {Šlapal}",
  title="Complete lattice morphisms compatible with closure operators",
  journal="Thai Journal of Mathematics",
  year="2010",
  volume="8",
  number="2",
  pages="255--262",
  issn="1686-0209"
}