Generalized quasi-metric semilattices

Dikranjan D, Giordano Bruno A, Künzi HP, Zava N, Toller D. 2021. Generalized quasi-metric semilattices. Topology and its Applications., 107916.

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Journal Article | Epub ahead of print | English

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Author
Dikranjan, Dikran; Giordano Bruno, Anna; Künzi, Hans Peter; Zava, NicolòIST Austria; Toller, Daniele
Department
Abstract
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.
Publishing Year
Date Published
2021-11-08
Journal Title
Topology and its Applications
Acknowledgement
Dedicated to the memory of Hans-Peter Künzi.
Article Number
107916
ISSN
IST-REx-ID

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Dikranjan D, Giordano Bruno A, Künzi HP, Zava N, Toller D. Generalized quasi-metric semilattices. Topology and its Applications. 2021. doi:10.1016/j.topol.2021.107916
Dikranjan, D., Giordano Bruno, A., Künzi, H. P., Zava, N., & Toller, D. (2021). Generalized quasi-metric semilattices. Topology and Its Applications. Elsevier. https://doi.org/10.1016/j.topol.2021.107916
Dikranjan, Dikran, Anna Giordano Bruno, Hans Peter Künzi, Nicolò Zava, and Daniele Toller. “Generalized Quasi-Metric Semilattices.” Topology and Its Applications. Elsevier, 2021. https://doi.org/10.1016/j.topol.2021.107916.
D. Dikranjan, A. Giordano Bruno, H. P. Künzi, N. Zava, and D. Toller, “Generalized quasi-metric semilattices,” Topology and its Applications. Elsevier, 2021.
Dikranjan D, Giordano Bruno A, Künzi HP, Zava N, Toller D. 2021. Generalized quasi-metric semilattices. Topology and its Applications., 107916.
Dikranjan, Dikran, et al. “Generalized Quasi-Metric Semilattices.” Topology and Its Applications, 107916, Elsevier, 2021, doi:10.1016/j.topol.2021.107916.

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