---
_id: '10413'
abstract:
- lang: eng
  text: Motivated by the recent introduction of the intrinsic semilattice entropy,
    we study generalized quasi-metric semilattices and their categories. We investigate
    the relationship between these objects and generalized semivaluations, extending
    Nakamura and Schellekens' approach. Finally, we use this correspondence to compare
    the intrinsic semilattice entropy and the semigroup entropy induced in particular
    situations, like sets, torsion abelian groups and vector spaces.
acknowledgement: Dedicated to the memory of Hans-Peter Künzi.
article_number: '107916'
article_processing_charge: No
article_type: original
author:
- first_name: Dikran
  full_name: Dikranjan, Dikran
  last_name: Dikranjan
- first_name: Anna
  full_name: Giordano Bruno, Anna
  last_name: Giordano Bruno
- first_name: Hans Peter
  full_name: Künzi, Hans Peter
  last_name: Künzi
- first_name: Nicolò
  full_name: Zava, Nicolò
  id: c8b3499c-7a77-11eb-b046-aa368cbbf2ad
  last_name: Zava
  orcid: 0000-0001-8686-1888
- first_name: Daniele
  full_name: Toller, Daniele
  last_name: Toller
citation:
  ama: Dikranjan D, Giordano Bruno A, Künzi HP, Zava N, Toller D. Generalized quasi-metric
    semilattices. <i>Topology and its Applications</i>. 2022;309. doi:<a href="https://doi.org/10.1016/j.topol.2021.107916">10.1016/j.topol.2021.107916</a>
  apa: Dikranjan, D., Giordano Bruno, A., Künzi, H. P., Zava, N., &#38; Toller, D.
    (2022). Generalized quasi-metric semilattices. <i>Topology and Its Applications</i>.
    Elsevier. <a href="https://doi.org/10.1016/j.topol.2021.107916">https://doi.org/10.1016/j.topol.2021.107916</a>
  chicago: Dikranjan, Dikran, Anna Giordano Bruno, Hans Peter Künzi, Nicolò Zava,
    and Daniele Toller. “Generalized Quasi-Metric Semilattices.” <i>Topology and Its
    Applications</i>. Elsevier, 2022. <a href="https://doi.org/10.1016/j.topol.2021.107916">https://doi.org/10.1016/j.topol.2021.107916</a>.
  ieee: D. Dikranjan, A. Giordano Bruno, H. P. Künzi, N. Zava, and D. Toller, “Generalized
    quasi-metric semilattices,” <i>Topology and its Applications</i>, vol. 309. Elsevier,
    2022.
  ista: Dikranjan D, Giordano Bruno A, Künzi HP, Zava N, Toller D. 2022. Generalized
    quasi-metric semilattices. Topology and its Applications. 309, 107916.
  mla: Dikranjan, Dikran, et al. “Generalized Quasi-Metric Semilattices.” <i>Topology
    and Its Applications</i>, vol. 309, 107916, Elsevier, 2022, doi:<a href="https://doi.org/10.1016/j.topol.2021.107916">10.1016/j.topol.2021.107916</a>.
  short: D. Dikranjan, A. Giordano Bruno, H.P. Künzi, N. Zava, D. Toller, Topology
    and Its Applications 309 (2022).
date_created: 2021-12-05T23:01:44Z
date_published: 2022-03-15T00:00:00Z
date_updated: 2023-08-02T13:33:24Z
day: '15'
department:
- _id: HeEd
doi: 10.1016/j.topol.2021.107916
external_id:
  isi:
  - '000791838800012'
intvolume: '       309'
isi: 1
language:
- iso: eng
month: '03'
oa_version: None
publication: Topology and its Applications
publication_identifier:
  issn:
  - 0166-8641
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Generalized quasi-metric semilattices
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 309
year: '2022'
...